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Representations of Terwilliger algebras and their applications

Research Project

Project/Area Number 18340022
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionKanazawa University

Principal Investigator

ITO Tatsuro  Kanazawa University, 数物科学系, 教授 (90015909)

Co-Investigator(Kenkyū-buntansha) 坂内 英一  九州大学, 数理学研究院, 教授 (10011652)
宗政 昭弘  東北大学, 情報科学研究科, 教授 (50219862)
平木 彰  大阪教育大学, 教育学部, 准教授 (90294181)
吉荒 聡  東京女子大学, 文理学部, 教授 (10230674)
野村 和正  東京医科歯科大学, 教義部, 教授 (40111645)
Co-Investigator(Renkei-kenkyūsha) BANNAI Eiichi  九州大学, 数理学研究院, 名誉教授 (10011652)
MUNEMASA Akihiro  東北大学, 情報科学研究科, 教授 (50219862)
HIRAKI Akira  大阪教育大学, 教育学部, 准教授 (90294181)
SUZUKI Hiroshi  国際基督教大学, 教養学部, 教授 (10135767)
YOSHIARA Satoshi  東京女子大学, 文理学部, 教授 (10230674)
NOMURA Kazumasa  東京医科歯科大学, 教養部, 名誉教授 (40111645)
TANABE Kenichiro  北海道大学, 理学研究院, 准教授 (10334038)
KAWAGOE Kenichi  金沢大学, 数物科学系, 講師 (50293337)
Project Period (FY) 2006 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥16,610,000 (Direct Cost: ¥14,000,000、Indirect Cost: ¥2,610,000)
Fiscal Year 2009: ¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2008: ¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2007: ¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2006: ¥5,300,000 (Direct Cost: ¥5,300,000)
Keywordsassociation scheme / P- and Q-polynomial scheme / Terwilliger algebra / TD-pair / Leonard pair / code / design / 極値集合 / P- and Q-poly. Scheme / Quantum affine algebra / TD-algebra / Augmented TD-aleebra / Askey-Wilson polynomial / P- and Q- polynomial scheme / distance-regular graph / P- and Q- polynomial sch
Research Abstract

離散的空間の研究が近年ますます重要性を増している中で、本研究はその中でも対称性が極めて高くそれ故に応用も広い離散的対称空間について、表現論という代数的手法の基礎理論を構築し、幾何学的側面の研究へその応用の道を開拓した。rank 1の離散的対称空間に附随するTerwilliger algebraのgenricな既約表現を決定したことは特筆すべきbreakthroughである。

Report

(6 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report   Self-evaluation Report ( PDF )
  • 2007 Annual Research Report
  • 2006 Annual Research Report
  • Research Products

    (153 results)

All 2010 2009 2008 2007 2006 Other

All Journal Article (92 results) (of which Peer Reviewed: 53 results) Presentation (61 results)

  • [Journal Article] The augmented tridiagonal algebra2010

    • Author(s)
      T. Ito, P. Terwilliger
    • Journal Title

      Kyushu J. Math. 64

      Pages: 81-144

    • NAID

      130000259015

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] The augmented tridiagonal algebra2010

    • Author(s)
      T.Ito, P.Terwilliger
    • Journal Title

      Kyushu J.Math. 64

      Pages: 81-144

    • NAID

      130000259015

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Tridiagonal pairs of q-Racah type2009

    • Author(s)
      T. Ito, P. Terwilliger
    • Journal Title

      J. Algebra 322no.1

      Pages: 68-93

    • NAID

      120001342320

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] The Drinfel'd polynomial of a tridiagonal pair2009

    • Author(s)
      T. Ito, P. Terwilliger
    • Journal Title

      Information & System Sciences 34no.1-4

      Pages: 255-292

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Distance regular graphs of $q$-Racah type and the $q$-tetrahedron algebra2009

    • Author(s)
      T. Ito, P. Terwilliger
    • Journal Title

      Michigan Math. Journal 58no.1

      Pages: 241-254

    • NAID

      120001658166

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Distance regular graphs and the $q$-tetrahedron algebra2009

    • Author(s)
      T. Ito, P. Terwilliger
    • Journal Title

      European J. of Combin. 30no.3

      Pages: 682-697

    • NAID

      120001088428

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Distance-regular graphs of $q$-Racah type and the $q$-tetrahedron algebra2009

    • Author(s)
      T.Ito, P.Terwilliger
    • Journal Title

      Michigan Math.Journal 58

      Pages: 241-254

    • NAID

      120001658166

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Tridiagonal pairs of q-Racah type2009

    • Author(s)
      T.Ito, P.Terwilliger
    • Journal Title

      J.Algebra 322

      Pages: 68-93

    • NAID

      120001342320

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The Drinfel'd polynomial of a tridiagonal pair2009

    • Author(s)
      T.Ito, P.Terwilliger
    • Journal Title

      Journal of Combinatorics, Information & System Sciences 34

      Pages: 255-292

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Distance regular graphs and the $q$-tetrahedron algebra2009

    • Author(s)
      T.Ito and P.Terwilliger
    • Journal Title

      Europ.J. of Combinatorics 30

      Pages: 682-697

    • NAID

      120001088428

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Distance-regular graphs and the $q$-tetrahedron algebra2009

    • Author(s)
      T. Ito, P. Terwilliger
    • Journal Title

      Europ. J. of Combinatorics 30

      Pages: 682-697

    • NAID

      120001088428

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Distance-regular graphs of $q$-Racah type andthe $q$-tetrahedron a lgebra2009

    • Author(s)
      T. Ito, P. Terwilliger
    • Journal Title

      Michigan Mathematical Journal 発行予定(確定)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Tridiagonal pairs of q-Racah type2009

    • Author(s)
      T. Ito, P. Terwilliger
    • Journal Title

      J. Algebra 発行予定(確定)

    • NAID

      120001342320

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Finite dimensional irreducible modules for the three-point $\mathfrak{sl}_2$ loop algebra2008

    • Author(s)
      T. Ito, P. Terwilliger
    • Journal Title

      Comm. Algebra 36no.12

      Pages: 4557-4598

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Finite dimensional irreducible modules for the three-point $\mathfrak{s1}_2$ loop algebra2008

    • Author(s)
      T.Ito and P.Terwilliger
    • Journal Title

      Comm. Algebra 36,no.12

      Pages: 4557-4598

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Finite-dimensional irreducible modules for the three-point $\mathfrak {sl}_2$ loop algebra2008

    • Author(s)
      T. Ito, P. Terwilliger
    • Journal Title

      Comm. Algebra 36

      Pages: 4557-4598

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Distance-regular graphs and the q-tetrahedron algebra2008

    • Author(s)
      T. Ito and P. Terwilliger
    • Journal Title

      Europ. J. of Combinatorics (掲載確定)

    • NAID

      120001088428

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Finite-dimensional irreducible modules for the threepoint sl_2 loop algebra2008

    • Author(s)
      T. Ito and P. Terwilliger
    • Journal Title

      Comm. Algebra (掲載確定)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Distance-regular graohs of q-Racah type and the q-tetrahedron algebra2008

    • Author(s)
      T. Ito and P. Terwilliger
    • Journal Title

      Michigan Mathematical Journal (掲載確定)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the zeros of Hecke type Faber polynomials2008

    • Author(s)
      E. Bannai
    • Journal Title

      Kyushu J. Math 62

      Pages: 15-61

    • NAID

      110006647913

    • Related Report
      2007 Annual Research Report
  • [Journal Article] Uniqueness of certain association schemes2008

    • Author(s)
      E. Bannai
    • Journal Title

      special issue in honor of 80th birthday of Professor ZheXian Wan(=Europ. J.Combinatorics) (掲載確定)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Character tables of the association schemes coming from the action of G_2(q)on hyperplanes of type O^2 6 (q)2008

    • Author(s)
      E. Bannai
    • Journal Title

      J. of Applied Math. And Computing (掲載確定)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A characterization of the Hamming graph by strongly closed subgraphs2008

    • Author(s)
      A. Hiraki
    • Journal Title

      European Journal of Combinatorics (掲載確定)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Towards a classification of the tridiagonal pairs2008

    • Author(s)
      K. Nomura, Paul Terwilliger
    • Journal Title

      Linear Algebra Appl (掲載確定)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Sharp tridiagonal pairs2008

    • Author(s)
      K. Nomura, Paul Terwilliger
    • Journal Title

      Linear Algebra Appl (掲載確定)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The switching element for a Leonard pair2008

    • Author(s)
      K.Nomura, Paul Terwilliger
    • Journal Title

      Linear Algebra Appl 428

      Pages: 1083-1108

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Representations of a fixed point subalgebra of a class of lattice vertex operator algebras by an automorphism of order Three2008

    • Author(s)
      K. Tanabe and H. Yamada
    • Journal Title

      European Journal of Combinatorics (掲載確定)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] q-Analogues of the Riemann zeta. the Dirichlet L-function, and a crystal zeta function2008

    • Author(s)
      K. Kawagoe, M. Wakayama and Y. Yamasaki
    • Journal Title

      Forum Math (掲載確定)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Tridiagonal pairs of Krawtchouk type2007

    • Author(s)
      T. Ito, P. Terwilliger
    • Journal Title

      Linear Algebra Appl. 427no.2-3

      Pages: 218-233

    • NAID

      120001138589

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] $q$-inverting pairs of linear transformations and the $q$-tetrahedron algebra2007

    • Author(s)
      T. Ito, P. Terwilliger
    • Journal Title

      Linear Algebra Appl. 426no.2-3

      Pages: 516-532

    • NAID

      120006348631

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Two non-nilpotent linear transformations that satisfy the cubic q-Serre relations2007

    • Author(s)
      T. Ito, P. Terwilliger
    • Journal Title

      J. Algebra Appl. 6no.3

      Pages: 477-503

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] The q-tetrahedron algebra and its finite dimensional irreducible modules2007

    • Author(s)
      T. Ito, P. Terwilliger
    • Journal Title

      Comm. Algebra 35no.11

      Pages: 3415-3439

    • NAID

      120001133194

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Tridiagonal pairs and the quantum affine algebra $U_q({\widehat {sl}}_2)$2007

    • Author(s)
      T. Ito, P. Terwilliger
    • Journal Title

      Ramanujan J. 13no.11

      Pages: 39-62

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Two non-nilpotent linear transformations that satisfy the cubic q-Serre relations2007

    • Author(s)
      T.Ito and P.Terwilliger
    • Journal Title

      J.Algebra Appl 6,no.3

      Pages: 477-503

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Tridiagonal pairs and the quantum affine algebra $U_q({\widehat {s1}}_2)$2007

    • Author(s)
      T.Ito and P.Terwilliger
    • Journal Title

      Ramanujan J. 13,no.1-3

      Pages: 39-62

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Tridiagonal pairs and the quantum affine algebra Uq(bsl_2)2007

    • Author(s)
      T. Ito and P. Terwilliger
    • Journal Title

      Ramanujan J. 13

      Pages: 39-62

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The q-tetrahedron algebra and its finite dimensional irreducible modules2007

    • Author(s)
      T. Ito and P. Terwilliger
    • Journal Title

      Comm. Algebra 35

      Pages: 3415-3439

    • NAID

      120001133194

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Two non-nilpotent linear transformations that satisfy the cubic q-Serre relations2007

    • Author(s)
      T. Ito and P. Terwilliger
    • Journal Title

      J. Algebra Appl 6

      Pages: 477-503

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] q-inverting pairs of linear transformations and the q-tetrahedr on algebra2007

    • Author(s)
      T. Ito and P. Terwilliger
    • Journal Title

      Linear Algebra Appl 426

      Pages: 516-532

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Tridiagonal pairs of Krawtchouk type2007

    • Author(s)
      T. Ito and P. Terwilliger
    • Journal Title

      Linear Algebra Appl 427

      Pages: 218-233

    • NAID

      120001138589

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the strong non-rigidity of certain tight Euclidean designs2007

    • Author(s)
      E. Bannai
    • Journal Title

      Europ. J. Combinatorics 28

      Pages: 1662-1680

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 0n the covering radii of extremal doubly even self-dual codes2007

    • Author(s)
      M. Harada and A. Munemasa
    • Journal Title

      Adv. Math. Commun 1

      Pages: 251-256

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Simple abelian quadruple systems2007

    • Author(s)
      A. Munemasa and M. Sawa
    • Journal Title

      J. Combin. Theory, Ser A 114

      Pages: 1160-1164

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A generalized quadrangle with an automorphism group acting regularly on the points2007

    • Author(s)
      S. Yoshiara
    • Journal Title

      European Journal of Combinatorics 28

      Pages: 653-664

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Notes on Taniguchi's dimensional dual hyperovals2007

    • Author(s)
      S. Yoshiara
    • Journal Title

      European Journal of Combinatorics 28

      Pages: 674-684

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Conditions for a class of dimensional dual hyperovalsto be of plar type2007

    • Author(s)
      N. Nambu and S. Yoshiara
    • Journal Title

      Finite Fields and their Applications 13

      Pages: 1117-1126

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A construction of differentially 4-uniform functions from commutative semifields of characteristic 22007

    • Author(s)
      N. Nakagawa and S.Yoshiara
    • Journal Title

      Arithmetic of Finite Fields 2

      Pages: 134-146

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The split decomposition of a tridiagonal pair2007

    • Author(s)
      K. Nomura, Paul Terwilliger
    • Journal Title

      Linear Algebra Appl 424

      Pages: 339-345

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Affine transformations of a Leonard pair2007

    • Author(s)
      K. Nomura, Paul Terwilliger
    • Journal Title

      Electron. J. of Linear Algebra 16

      Pages: 389-418

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The fixed point subalgebra of a lattice vertex operator algebra by an automorphism of order three2007

    • Author(s)
      K. Tanabe and H. Yamada
    • Journal Title

      Pacific Journal of Mathematics 230

      Pages: 469-510

    • NAID

      130003384669

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Supplementary difference sets constructed from from q+1st cyclotomic classes in GF(q2)2007

    • Author(s)
      M. Yamada
    • Journal Title

      Australasian Journal of Combinatorics 39

      Pages: 73-85

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Limits of the HOMFLY polynomials of the figure-eight knot2007

    • Author(s)
      K. Kawagoe
    • Journal Title

      Intelligence of the low dimensional topology (掲載確定)

      Pages: 143-150

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Delsarte clique graphs2007

    • Author(s)
      Akira Hiraki
    • Journal Title

      European J. Combin. (with S. Bang and J. Koolen). 28, no2

      Pages: 501-506

    • Related Report
      2006 Annual Research Report
  • [Journal Article] A characterization of the Odd graphs and the doubled Odd graphs with a few of their intersection numbers2007

    • Author(s)
      Akira Hiraki
    • Journal Title

      European J. Combin. 28, no1

      Pages: 246-257

    • Related Report
      2006 Annual Research Report
  • [Journal Article] A generalized quadrangle with an automorphism group acting regularly on the points2007

    • Author(s)
      Satoshi Yoshiara
    • Journal Title

      European Journal of Combinatorics28 28

      Pages: 653-664

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Notes on Taniguchi's dimensional dual hyperovals2007

    • Author(s)
      Satoshi Yoshiara
    • Journal Title

      European Journal of Combinatorics

      Pages: 674-684

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Balanced Leonard pairs,2007

    • Author(s)
      Kazumasa Nomura, Paul Terwilliger
    • Journal Title

      Linear Algebra Appl. 420

      Pages: 51-69

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Linear transformations that are tridiagonal with respect to both eigenbases of a Leonard pair2007

    • Author(s)
      Kazumasa Nomura, Paul Terwilliger
    • Journal Title

      Linear Algebra Appl. 420

      Pages: 51-69

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Linear transformation that are tridiagonal with respect to both eigenbases of a Leonard pair2007

    • Author(s)
      Kazumasa Nomura, Paul Terwilliger
    • Journal Title

      Linear Algebra Appl. 420

      Pages: 198-207

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Tight Distance-Regular Graphs with Respect to Subsets2007

    • Author(s)
      Hiroshi Suzuki
    • Journal Title

      European Journal of Combinatorics (with R. Hosoya). 28

      Pages: 61-74

    • Related Report
      2006 Annual Research Report
  • [Journal Article] On Strongly Closed Subgraphs with Diameter Two and the Q- Polynomial Property2007

    • Author(s)
      Hiroshi Suzuki
    • Journal Title

      European Journal of Combinatorics 28

      Pages: 167-185

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Jacket matrices constructed from Hadamard matrices and generalized Hadamard matrices2007

    • Author(s)
      Mieko Yamada
    • Journal Title

      Australasian Journal of Combinatorics (with Ken Finlayson, Moon Ho lee and Jennifer Se-berry) 35

      Pages: 83-87

    • Related Report
      2006 Annual Research Report
  • [Journal Article] The quantum algebra $U_q(\mathfrak{sl}_2)$ and its equitable presentation2006

    • Author(s)
      Tatsuro Ito, Paul Terwilliger, Chih-wen Weng
    • Journal Title

      J. Algebra 298no.1

      Pages: 284-301

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] The quantum algebra $U_q(mathfrak{sl}_2)$ and its equitable presentation2006

    • Author(s)
      Tatsuro Ito
    • Journal Title

      J. Algebra 298

      Pages: 284-301

    • Related Report
      2006 Annual Research Report
  • [Journal Article] On optimal tight 4-designs on 2 concentric spheres2006

    • Author(s)
      Eiichi Bannai
    • Journal Title

      Europ. J. Combinatorics 27

      Pages: 179-192

    • Related Report
      2006 Annual Research Report
  • [Journal Article] On primitive symmetric association schemes with $m_1=3$2006

    • Author(s)
      Eiichi Bannai
    • Journal Title

      Contributions to Discrete Mathematics 1

      Pages: 68-79

    • Related Report
      2006 Annual Research Report
  • [Journal Article] A note on integral Euclidean lattices in dimension 3.2006

    • Author(s)
      Eiichi Bannai
    • Journal Title

      Arch. Math. (Basel) 86

      Pages: 56-59

    • Related Report
      2006 Annual Research Report
  • [Journal Article] On Euclidean tight 4-designs2006

    • Author(s)
      Eiichi Bannai
    • Journal Title

      J. of Math. Soc. Japan (with Etsuko Bannai) 58

      Pages: 775-804

    • NAID

      10018381112

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Spherical designs attached to extremal lattices and the mod-ulo p property of Fourier coefficients of extremal modular forms2006

    • Author(s)
      Eiichi Bannai
    • Journal Title

      Moscow Mathematical Journal (with Masao Koike, Satoshi Shinohara, and Makoto Tagami). 6

      Pages: 225-264

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Some restrictions on weight enumerators of singly even self-dual codes2006

    • Author(s)
      Akihiro Munemasa
    • Journal Title

      IEEE Trans. Inform. Theory (with Masaaki Harada). 52

      Pages: 1266-1269

    • NAID

      120002337725

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Hyperplane partitions and difference systems of sets2006

    • Author(s)
      Akihiro Munemasa
    • Journal Title

      J. Combin. Theory, Ser. A (with Ryoh Fuji-Hara and Vladimir Tonchev). 113

      Pages: 1689-1698

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Improving diameter bounds for distance-regular graphs2006

    • Author(s)
      Akira Hiraki
    • Journal Title

      Eu-ropean J. Combin. (with S. Bang and J. Koolen). 27, no1

      Pages: 79-89

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Dimensional dual arcs-a survey2006

    • Author(s)
      Satoshi Yoshiara
    • Journal Title

      Finite geometries, groups, and computation (Walter de Gruyter GmbH&Co. KG Berlin

      Pages: 247-266

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Some trace formulae involving the split sequences of a Leonard pair2006

    • Author(s)
      Kazumasa Nomura, Paul Terwilliger
    • Journal Title

      Linear Algebra Appl. 413

      Pages: 189-201

    • Related Report
      2006 Annual Research Report
  • [Journal Article] The determinant of AA^*-A^*A for a Leonard pair A,A^*.2006

    • Author(s)
      Kazumasa Nomura, Paul Terwilliger
    • Journal Title

      Linear Algebra Appl. 416

      Pages: 880-889

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Matrix units associated with the split basis of a Leonard pair2006

    • Author(s)
      Kazumasa Nomura, Paul Terwilliger
    • Journal Title

      Linear Algebra Appl. 418

      Pages: 775-787

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Limits of the HOMFLY polynomials of the figure-eight knot2006

    • Author(s)
      Kenichi Kawagoe
    • Journal Title

      Proceedings of the Intelligence of Low Dimensional Topology (to appear)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Tridiagonal pairs of q-Racah type

    • Author(s)
      T.Ito and P.Terwilliger
    • Journal Title

      accepted for publication in J.Algebra (掲載確定)

    • NAID

      120001342320

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Tridiagonal pairs and the quantum affine algebra $U_q({widehat {sl}}_2)$

    • Author(s)
      Tatsuro Ito
    • Journal Title

      Ramanujan Journal (印刷中)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] The q-tetrahedron algebra and its finite dimensional irreducible modules

    • Author(s)
      Tatsuro Ito
    • Journal Title

      Comm. Algebra (印刷中)

    • NAID

      120001133194

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Two non-nilpotent linear transformations that satisfy the cubic q-Serre relations

    • Author(s)
      Tatsuro Ito
    • Journal Title

      J. Algebra Appl. (印刷中)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] On the strong non-rigidity of certain tight Euclidean de-signs

    • Author(s)
      Eiichi Bannai
    • Journal Title

      Europ. J. Combinatorics (with Etsuko Bannaiand Djoko Suprijanto). (accepted for publication)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] On the zeros of Hecke type Faber polynomials

    • Author(s)
      Eiichi Bannai
    • Journal Title

      Kyushu J. Math.(with Koji Kojima and Tsuyoshi Miezaki) (accepted for publication)

    • NAID

      110006647913

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Uniqueness of certain association schemes

    • Author(s)
      Eiichi Bannai
    • Journal Title

      special issue in honor of 80th birthday of Professor ZheXian Wan (=Europ. J. Combinatorics) (with Etsuko Bannai and Hideo Ban-nai). (accepted for publication)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Characeter tables of the association schemes coming from tha action of G_2q on hyperplanes of type O^e_6(q)

    • Author(s)
      Eiichi Bannai
    • Journal Title

      J. Appl. Math & Computing (with Sung Yell Song and Hiromichi Yamada). (accepted for publication)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Determination of weight enumerators of binary ex-tremal self-dual [42,21,8] codes

    • Author(s)
      Akihiro Munemasa
    • Journal Title

      Finite Fields and Their Applications (with Stefka Bouyuklieva and Masaaki Harada). (accepted for publication)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Simple abelian quadruple systems

    • Author(s)
      Akihiro Munemasa
    • Journal Title

      Journal of Combinatorial Theory, Ser. A (with Masanori Sawa). (accepted for publication)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Conditions for a class of dimensional dual hyperovals to be of polar type

    • Author(s)
      Satoshi Yohiara
    • Journal Title

      Finite Fields and their Applications (with N. Nambu). (to appear)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] The split decomposition of a tridi-agonal pair

    • Author(s)
      Kazumasa Nomura, Paul Terwilliger
    • Journal Title

      Linear Algebra Appl. (in press)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] The fixed point subalgebra of a lattice vertex operator algebra by an automorphism of order three

    • Author(s)
      Kenichiro Tanabe
    • Journal Title

      in Pacific Journal of Mathematics (with Hiromichi Yamada). (to appear)

    • NAID

      130003384669

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Supplementary difference sets constructed from q+1st cy-clotomic classes in GF(q2)

    • Author(s)
      Mieko Yamada
    • Journal Title

      Australasian Jour-nal of Combinatorics. (accepted for publication)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] q-Analogues of the Riemann zeta, the Dirichlet L-functions and a crystal zeta function

    • Author(s)
      Kenichi Kawagoe
    • Journal Title

      in Forum Math. (with M. Wakayama and Y. Yamasaki). (to appear)

    • Related Report
      2006 Annual Research Report
  • [Presentation] Towards the classification of Pand Q- polynomial association schemes Korea-Japan Workshop on Algebra and Combinatorics2010

    • Author(s)
      T. Ito
    • Organizer
      POSTECH
    • Year and Date
      2010-02-06
    • Related Report
      2009 Final Research Report
  • [Presentation] Towards the classification of P- and Q- polynomial association schemes2010

    • Author(s)
      T.Ito
    • Organizer
      Korea-Japan Workshop on Algebra and Combinatorics
    • Place of Presentation
      POSTECH (韓国)
    • Year and Date
      2010-02-06
    • Related Report
      2009 Annual Research Report
  • [Presentation] Association Schemes入門2010

    • Author(s)
      T. Ito
    • Organizer
      織田ゼミ
    • Place of Presentation
      東京大学
    • Related Report
      2009 Final Research Report
  • [Presentation] Towards the classification of Pand Q- polynomial association schemes2009

    • Author(s)
      T. Ito
    • Organizer
      JAIST Workshop on METRIC GRAPH THEORY
    • Place of Presentation
      Kanazawa Culture Hall
    • Year and Date
      2009-11-12
    • Related Report
      2009 Final Research Report
  • [Presentation] Towards the classification of P- and Q- polynomial association schemes2009

    • Author(s)
      T.Ito
    • Organizer
      JAIST Workshop on METRIC GRAPH THEORY
    • Place of Presentation
      Kanazawa Culture Hall (石川県)
    • Year and Date
      2009-11-12
    • Related Report
      2009 Annual Research Report
  • [Presentation] TD-pairの分類について2009

    • Author(s)
      T. Ito
    • Organizer
      ミニ集会「代数的組合せ論」
    • Place of Presentation
      九州大学
    • Year and Date
      2009-03-18
    • Related Report
      2009 Final Research Report 2008 Annual Research Report
  • [Presentation] The q-Onsager algebra2009

    • Author(s)
      T. Ito
    • Organizer
      有限群・頂点作用素代数と組合せ論研究集会
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-01-08
    • Related Report
      2009 Final Research Report 2008 Annual Research Report
  • [Presentation] The q-Onsager algebra2008

    • Author(s)
      T. Ito
    • Organizer
      Geometric and Algebraic Combinatorics 4, Oisterwijk
    • Place of Presentation
      The Netherlands
    • Year and Date
      2008-08-19
    • Related Report
      2009 Final Research Report
  • [Presentation] The q-Onsager algebra2008

    • Author(s)
      T.Ito
    • Organizer
      Geometric and Algebraic Combinatorics4
    • Place of Presentation
      Oisterwijk, The Netherlands
    • Year and Date
      2008-08-19
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] The q-Onsager algebra2008

    • Author(s)
      T. Ito
    • Organizer
      Geometric, Algebraic Comb inatorics 4
    • Place of Presentation
      Oisterwijk, The Netherlands
    • Year and Date
      2008-08-19
    • Related Report
      2008 Annual Research Report
  • [Presentation] The q-Onsager algebra2008

    • Author(s)
      T. Ito
    • Organizer
      第20回有限群論草津セミナー
    • Place of Presentation
      草津セミナーハウス
    • Year and Date
      2008-08-01
    • Related Report
      2009 Final Research Report 2008 Annual Research Report
  • [Presentation] Irreducible representations of Terwilliger algebras for P- and Q-polynomial association schemes2008

    • Author(s)
      T. Ito
    • Organizer
      第25回代数的組合せ論
    • Place of Presentation
      北海道大学学術交流会館
    • Year and Date
      2008-06-23
    • Related Report
      2009 Final Research Report
  • [Presentation] Irreducible representations of Terwilliger algebrasfor P- and Q-polynomial association schemes2008

    • Author(s)
      T. Ito
    • Organizer
      第25回代数的組合せ論研究集会
    • Place of Presentation
      北海道大学学術交流会館
    • Year and Date
      2008-06-23
    • Related Report
      2008 Annual Research Report
  • [Presentation] The q-Onsager algebra2008

    • Author(s)
      T. Ito
    • Place of Presentation
      岡山大学談話会
    • Year and Date
      2008-05-08
    • Related Report
      2009 Final Research Report
  • [Presentation] The q-Onsager algebra2008

    • Author(s)
      T. Ito
    • Organizer
      岡山大学談話会
    • Place of Presentation
      岡山大学数学科
    • Year and Date
      2008-05-08
    • Related Report
      2008 Annual Research Report
  • [Presentation] Classification of TD-pairs2008

    • Author(s)
      T. Ito
    • Organizer
      ミニ集会「代数的組合せ論」
    • Place of Presentation
      神戸学院大学ポートアイランドキャンパス
    • Year and Date
      2008-03-22
    • Related Report
      2009 Final Research Report 2007 Annual Research Report
  • [Presentation] 高次元の双対超卵形に関連したAPN 関数の性質2008

    • Author(s)
      吉荒 聡
    • Organizer
      代数的組合せ論ミニ集会
    • Place of Presentation
      神戸学院大学
    • Year and Date
      2008-03-22
    • Related Report
      2007 Annual Research Report
  • [Presentation] Spherical designs and Euclidean designs,-study from the viewpoint of algebraic combinatorics2008

    • Author(s)
      Eiichi Bannai
    • Organizer
      Workshop on Linear and Semidefinite Programming bounds
    • Place of Presentation
      Hausdorff Inst. of Mathematics, Univ.of Bonn
    • Year and Date
      2008-02-29
    • Related Report
      2007 Annual Research Report
  • [Presentation] Assmus-Mattson 型の定理について2008

    • Author(s)
      坂内 英一
    • Organizer
      博多数論小研究集会
    • Place of Presentation
      福岡県
    • Year and Date
      2008-02-23
    • Related Report
      2007 Annual Research Report
  • [Presentation] Finite-dimensional irreducible representations of the augmented tridiagonal algebra2008

    • Author(s)
      T. Ito
    • Organizer
      mini-workshop on algebraic combinatorics
    • Place of Presentation
      POSTECH
    • Year and Date
      2008-02-04
    • Related Report
      2009 Final Research Report
  • [Presentation] Finite-dimensional irreducible reoresentations of the augmented tridiagonal algeba2008

    • Author(s)
      T. Ito
    • Organizer
      mini-workshop on algebraic combinatorics
    • Place of Presentation
      POSTECH
    • Year and Date
      2008-02-04
    • Related Report
      2007 Annual Research Report
  • [Presentation] Distance-regular graph with c_2 > 1 and a_1 = 0 < a_22008

    • Author(s)
      平木 彰
    • Organizer
      Fourth Korea-Japan Workshop on Algebra and Combinatorics
    • Place of Presentation
      POSTHCH
    • Year and Date
      2008-02-02
    • Related Report
      2007 Annual Research Report
  • [Presentation] Finite-dimensional modules for the polynomial ring in one variable as a vertex algebra2008

    • Author(s)
      K. Tanabe
    • Organizer
      10th SNU-HU Joint Symposium on Mathematics
    • Place of Presentation
      Seoul National University
    • Year and Date
      2008-01-25
    • Related Report
      2007 Annual Research Report
  • [Presentation] 球面上の良い有限点集合2008

    • Author(s)
      坂内 英一
    • Organizer
      北海道大学数学教室談話会
    • Place of Presentation
      北海道大学
    • Year and Date
      2008-01-11
    • Related Report
      2007 Annual Research Report
  • [Presentation] 一変数多項式環の頂点代数としての無限次元加群について2008

    • Author(s)
      田辺 顕一朗
    • Organizer
      ミニ集会「代数的組合せ論」
    • Place of Presentation
      神戸学院大学ポートアイランドキャンパス
    • Related Report
      2007 Annual Research Report
  • [Presentation] 2-homogeneity and completely resular strongly regular subgraphs2007

    • Author(s)
      鈴木 寛
    • Organizer
      「有限群論と代数的組合せ論」研究集会
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-12-18
    • Related Report
      2007 Annual Research Report
  • [Presentation] 標数2_n のガロア環上の差集合2007

    • Author(s)
      山田 美枝子
    • Organizer
      応用数学合同研究集会(離散系セツション)
    • Place of Presentation
      龍谷大学
    • Year and Date
      2007-12-18
    • Related Report
      2007 Annual Research Report
  • [Presentation] Difference sets over Galois rings GR(2_n,s)2007

    • Author(s)
      山田 美枝子
    • Organizer
      32_<nd> ACCMCC
    • Place of Presentation
      University of Otago, Dunedin, New Zealand
    • Year and Date
      2007-12-06
    • Related Report
      2007 Annual Research Report
  • [Presentation] 長さ28の極値的3元自己双対符号の分類2007

    • Author(s)
      宗政 昭弘
    • Organizer
      第7回代数学と計算研究集会
    • Place of Presentation
      首都大学東京
    • Year and Date
      2007-12-05
    • Related Report
      2007 Annual Research Report
  • [Presentation] Non-amorphous association schemes in which all nontrivial relations are strongly regular2007

    • Author(s)
      宗政 昭弘
    • Organizer
      The 22nd PNU-POSTECH Algebraic Combinatorics Seminar
    • Place of Presentation
      Pusan National University
    • Year and Date
      2007-11-24
    • Related Report
      2007 Annual Research Report
  • [Presentation] Parallelogram-free distance-regular gsraohs having completely regularstrongly regular subgraphs2007

    • Author(s)
      鈴木 寛
    • Organizer
      The 22nd Algebraic Combinatorics Semina
    • Place of Presentation
      韓国釜山大学
    • Year and Date
      2007-11-24
    • Related Report
      2007 Annual Research Report
  • [Presentation] Tight designs on sohere and Euclidean spaces2007

    • Author(s)
      Eiichi Bannai
    • Organizer
      AGCT-11
    • Place of Presentation
      Luminy, France
    • Year and Date
      2007-11-06
    • Related Report
      2007 Annual Research Report
  • [Presentation] The augmented tridiagonal algebra2007

    • Author(s)
      T. Ito
    • Organizer
      Algebras, Groups and Geometries in Tambara
    • Place of Presentation
      Tambara International Seminar House
    • Year and Date
      2007-10-17
    • Related Report
      2009 Final Research Report 2007 Annual Research Report
  • [Presentation] On Euclidean t-designs2007

    • Author(s)
      Eiichi Bannai and Etsuko Bannai
    • Organizer
      COE Conference on the Development of Dynamic Mathematics with High Functionality(DMHF)
    • Place of Presentation
      Fukuoka, Japan
    • Year and Date
      2007-10-03
    • Related Report
      2007 Annual Research Report
  • [Presentation] ユークリッド空間のtightなデザインの新しい例の構成と分類問題について2007

    • Author(s)
      坂内 英一, 坂内 悦子
    • Organizer
      日本数学会代数学分科会一般講演
    • Place of Presentation
      東北大学
    • Year and Date
      2007-09-21
    • Related Report
      2007 Annual Research Report
  • [Presentation] On Euclidean t-designs2007

    • Author(s)
      Eiichi Bannai
    • Organizer
      International Conference on Algebra and Related Topics, in honor of 80th birthda of Professor Zhexian Wan
    • Place of Presentation
      Tsinghua University, Beijing
    • Year and Date
      2007-08-20
    • Related Report
      2007 Annual Research Report
  • [Presentation] 高次元の双対弧-平面中の二次曲線から出発して2007

    • Author(s)
      吉荒 聡
    • Organizer
      第52回代数学シンポジウム
    • Place of Presentation
      神戸大学
    • Year and Date
      2007-08-06
    • Related Report
      2007 Annual Research Report
  • [Presentation] Mass formula for codes2007

    • Author(s)
      宗政 昭弘
    • Organizer
      第19回有眼前論草津セミナー
    • Place of Presentation
      草津セミナーハウス
    • Year and Date
      2007-08-03
    • Related Report
      2007 Annual Research Report
  • [Presentation] 中川氏の予想に対する幾つかの注意2007

    • Author(s)
      吉荒 聡
    • Organizer
      小研究集会「有限幾何とその周辺」
    • Place of Presentation
      近畿大学
    • Year and Date
      2007-07-14
    • Related Report
      2007 Annual Research Report
  • [Presentation] Irreducible representations of the Terwilliger algebra of a P- and Q-polynomial association scheme2007

    • Author(s)
      T. Ito
    • Organizer
      The Com^2MaC Conference on Applications of Group Theory to Combinatorics
    • Place of Presentation
      POSTECH
    • Year and Date
      2007-07-10
    • Related Report
      2009 Final Research Report 2008 Self-evaluation Report
  • [Presentation] The q-Onsager algebra and its finite dimensional irreducible representations2007

    • Author(s)
      T. Ito
    • Organizer
      The second Internatinal Congress in Algebra and Combinatorics
    • Place of Presentation
      Beihang University, Beijing, China
    • Year and Date
      2007-07-10
    • Related Report
      2009 Final Research Report 2008 Self-evaluation Report
  • [Presentation] Irreducible representations of the Terwilliger algebra of a P-and Qpolynomial association scheme2007

    • Author(s)
      T. Ito
    • Organizer
      The Com_2MaC Conference on Applications of Group Theor to Combinatorics
    • Place of Presentation
      POSTECH
    • Year and Date
      2007-07-10
    • Related Report
      2007 Annual Research Report
  • [Presentation] Spherical designs and Euclidean designs, a survey2007

    • Author(s)
      Eiichi Bannai
    • Organizer
      Com2Mac Conference on Applications of Group Theory to Combinatorics
    • Place of Presentation
      Pohang, Korea
    • Year and Date
      2007-07-10
    • Related Report
      2007 Annual Research Report
  • [Presentation] The q-Onsager algebra2007

    • Author(s)
      T. Ito
    • Organizer
      The second Internatinal Congress in Algebra and Combinatorics
    • Place of Presentation
      Beihang University,Beijing,China
    • Year and Date
      2007-07-07
    • Related Report
      2007 Annual Research Report
  • [Presentation] Spherical designs and Euclidean designs2007

    • Author(s)
      Eiichi Bannai
    • Organizer
      a survey, ICAC07
    • Place of Presentation
      Beihang University, Beiging
    • Year and Date
      2007-07-06
    • Related Report
      2007 Annual Research Report
  • [Presentation] A characterization of some distance-regular graPhs by strongly closed subgraphs2007

    • Author(s)
      平木 彰
    • Organizer
      代数的組合せ論研究集会
    • Place of Presentation
      近畿大学
    • Year and Date
      2007-06-30
    • Related Report
      2007 Annual Research Report
  • [Presentation] Euclidean designs, cubature formulas, and orthogonal polyno mials2007

    • Author(s)
      坂内 英一
    • Organizer
      第24回代数的組合せ論シンポジウム
    • Place of Presentation
      近畿大学
    • Year and Date
      2007-06-28
    • Related Report
      2007 Annual Research Report
  • [Presentation] On graphs with complete multipartite mu-graphs2007

    • Author(s)
      宗政 昭弘
    • Organizer
      The 6th Slovenian International The 6th Slovenian International Conference on Gragh Theor
    • Place of Presentation
      Lake Bled (Slovenia)
    • Year and Date
      2007-06-25
    • Related Report
      2007 Annual Research Report
  • [Presentation] Codes and lattices of Hadamard matrices2007

    • Author(s)
      宗政 昭弘
    • Organizer
      Design Theory and lts Applications
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-06-12
    • Related Report
      2007 Annual Research Report
  • [Presentation] Self-dual Z_4 codes generated by Hadamard matrices and conference matrices2007

    • Author(s)
      山田 美枝子
    • Organizer
      CMS-MITACS Joint Conference 2007
    • Place of Presentation
      Winnipeg, Canada
    • Year and Date
      2007-06-03
    • Related Report
      2007 Annual Research Report
  • [Presentation] Cubature formulas in numerical analysis and tight Euclidean designs2007

    • Author(s)
      Eiichi Bannai
    • Organizer
      CGCS2007
    • Place of Presentation
      Luminy, France
    • Year and Date
      2007-05-02
    • Related Report
      2007 Annual Research Report
  • [Presentation] Spherical and Euclidean designs2007

    • Author(s)
      Eiichi Bannai
    • Organizer
      cubature formulas, and orthogonal polynomials
    • Place of Presentation
      University of Magdeburg
    • Year and Date
      2007-04-27
    • Related Report
      2007 Annual Research Report
  • [Presentation] The Onsager algebra revisited from a combinatorial viewpoint2007

    • Author(s)
      T. Ito
    • Organizer
      組合せ論ミニ集会
    • Place of Presentation
      九州大学理学部
    • Year and Date
      2007-03-05
    • Related Report
      2009 Final Research Report
  • [Presentation] Irreducible representations of the Terwilliger algebra of a P- and Q-polynomial association scheme III2007

    • Author(s)
      T. Ito
    • Organizer
      Mini-workshop in Algebraic Combinatorics
    • Place of Presentation
      POSTECH
    • Year and Date
      2007-02-12
    • Related Report
      2009 Final Research Report
  • [Presentation] Irreducible representations of the Terwilliger algebra of a P- and Q-polynomial association scheme II2007

    • Author(s)
      T. Ito
    • Organizer
      Korea-Japan Workshop on Algebra and Combinatorics
    • Place of Presentation
      Pusan National University
    • Year and Date
      2007-02-11
    • Related Report
      2009 Final Research Report
  • [Presentation] Irreducible representations of the Terwilliger algebraof a P- and Q-polynomial association scheme II2007

    • Author(s)
      T.Ito
    • Organizer
      Korea-Japan Workshop on Algebra and Combinatorics
    • Place of Presentation
      Pusan National University
    • Year and Date
      2007-02-11
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] Two 50 minute talks (with no soecific title)2007

    • Author(s)
      Eiichi Bannai
    • Organizer
      Workshop on Combinatorics
    • Place of Presentation
      Beijing Normal University
    • Related Report
      2007 Annual Research Report
  • [Presentation] On modules of vertex algebras constructed from commutative algebras2007

    • Author(s)
      田辺 顕一朗
    • Organizer
      第24回代数的組合せ論研究集会
    • Place of Presentation
      近畿大学
    • Related Report
      2007 Annual Research Report
  • [Presentation] On modules of vertex algebras constructed from commutative algebras2007

    • Author(s)
      K. Tanabe
    • Organizer
      The 3rd Japan-Korea Workshop on Algebta and Combinatorics
    • Place of Presentation
      九州大学
    • Related Report
      2007 Annual Research Report
  • [Presentation] 可換代数から構成される頂点代数の加群について2007

    • Author(s)
      田辺 顕一朗
    • Organizer
      日本数学会2007 年度秋季総合分科会
    • Place of Presentation
      東北大学
    • Related Report
      2007 Annual Research Report
  • [Presentation] Irreducible representations of the Terwilliger algebra of a P- and Q-polynomial association scheme2006

    • Author(s)
      T. Ito
    • Organizer
      Japan-Korea Workshop on Algebra and Combinatorics
    • Place of Presentation
      九州大学理学部
    • Year and Date
      2006-10-21
    • Related Report
      2009 Final Research Report 2008 Self-evaluation Report

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Published: 2006-04-01   Modified: 2016-04-21  

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