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Algebraic combinatorics of plane partitions and alternating sign matrices, and related representation theory and mathematical physics

Research Project

Project/Area Number 24340003
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypePartial Multi-year Fund
Section一般
Research Field Algebra
Research InstitutionNagoya University

Principal Investigator

Soichi Okada  名古屋大学, 多元数理科学研究科, 教授 (20224016)

Co-Investigator(Kenkyū-buntansha) 石川 雅雄  琉球大学, 教育学部, 教授 (40243373)
松本 詔  鹿児島大学, 理学部, 准教授 (60547553)
中西 知樹  名古屋大学, 多元数理科学研究科, 教授 (80227842)
Project Period (FY) 2012-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥17,940,000 (Direct Cost: ¥13,800,000、Indirect Cost: ¥4,140,000)
Fiscal Year 2016: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2015: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2014: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2013: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2012: ¥7,670,000 (Direct Cost: ¥5,900,000、Indirect Cost: ¥1,770,000)
Keywords平面分割 / 交代符号行列 / 対称関数 / Pfaffian / KP 階層 / 複素鏡映群 / 組合せ論 / 表現論 / 数理物理学
Outline of Final Research Achievements

We study various aspects of algebraic combinatorics related to plane partitions and alternating sign matrices. 1. We establish Pfaffian analogues of the Cauchy-Binet formula and prove several identities among Schur Q-functions and their generalizations. 2. We prove the generating function for Young books can be written as a q-Selberg-type integral. 3. By establishing Pieri rules for classical groups, we give another proof to Burrill's conjecture and find its generalizations. 4. We find Giambelli-type determinant identities for the expansion coefficients of the \tau-function of the KP hierarchy, and prove that these determinant identities characterize solutions of the KP hierarchy.

Report

(6 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Annual Research Report
  • 2014 Annual Research Report
  • 2013 Annual Research Report
  • 2012 Annual Research Report

Research Products

(71 results)

All 2017 2016 2015 2014 2013 2012 Other

All Int'l Joint Research (1 results) Journal Article (28 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 18 results,  Open Access: 10 results,  Acknowledgement Compliant: 3 results) Presentation (42 results) (of which Int'l Joint Research: 12 results,  Invited: 21 results)

  • [Int'l Joint Research] Sungkyunkwan University(韓国)

    • Related Report
      2015 Annual Research Report
  • [Journal Article] Symplectic Q-functions2017

    • Author(s)
      岡田 聡一
    • Journal Title

      数理解析研究所講究録「リー型の組合せ論」

      Volume: 印刷中

    • Related Report
      2016 Annual Research Report
    • Open Access
  • [Journal Article] Polynomiality of shifted Plancherel averages and content evaluations2017

    • Author(s)
      Sho Matsumoto
    • Journal Title

      Ann. Math. Blaise Pascal.

      Volume: 印刷中

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Pieri rules for classical groups and equinumeration between generalized oscillating tableaux and semistandard tableaux2016

    • Author(s)
      Soichi Okada
    • Journal Title

      Electron. J. Combin.

      Volume: 23

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Schur Q-functions and symplectic Q-functions2016

    • Author(s)
      岡田 聡一
    • Journal Title

      2016 年度表現論シンポジウム講演集

      Volume: -

    • NAID

      130008005018

    • Related Report
      2016 Annual Research Report
    • Open Access
  • [Journal Article] Companion cluster algebras to a generalized cluster algebra2016

    • Author(s)
      Tomoki Nakanishi and Dylan Rupel
    • Journal Title

      Trav. Math.

      Volume: 24 Pages: 129-149

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Young books and q-Selberg integrals2016

    • Author(s)
      岡田 聡一
    • Journal Title

      数理解析研究所講究録

      Volume: 未定

    • Related Report
      2015 Annual Research Report
    • Open Access
  • [Journal Article] A new q-Selberg integral, Schur functions, and Young books2016

    • Author(s)
      Jang Soo Kim and Soichi Okada
    • Journal Title

      Ramanujan J.

      Volume: 未定

    • DOI

      10.1007/s11139-015-9721-9

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Generalized parking spaces2015

    • Author(s)
      岡田 聡一
    • Journal Title

      2015 年表現論シンポジウム講演集

      Volume: -

    • NAID

      130008004991

    • Related Report
      2015 Annual Research Report
    • Open Access
  • [Journal Article] Moments of traces for circular beta-ensemblescular beta-ensemblescular2015

    • Author(s)
      Tiefeng Jiang and Sho Matsumoto
    • Journal Title

      Ann. Probab.

      Volume: 43

    • DOI

      10.1214/14-aop960

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Structure of seeds in generalized cluster algebras2015

    • Author(s)
      Tomoki Nakanishi
    • Journal Title

      Pacific J. Math.

      Volume: 277 Pages: 201-202

    • DOI

      10.2140/pjm.2015.277.201

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Quantum generalized cluster algebras and quantum dilogarithms of higher degrees2015

    • Author(s)
      Tomoki Nakanishi
    • Journal Title

      Theor. Math. Phys.

      Volume: 185 Pages: 1759-1768

    • DOI

      10.1007/s11232-015-0377-9

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] A quadratic formula for basic hypergeometric series related to Askey-Wilson polynomials2015

    • Author(s)
      V. Guo, M. Ishikawa, H. Tagawa and J. Zeng
    • Journal Title

      Proc. Amer. Math. Soc.

      Volume: 未定

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Schur-type Pfaffians and their applications to symmetric function identities2014

    • Author(s)
      岡田 聡一
    • Journal Title

      日本数学会 2014 年度秋季総合分科会無限可積分系セッション

      Volume: 2014秋 Pages: 21-31

    • Related Report
      2014 Annual Research Report
    • Open Access
  • [Journal Article] Selberg integrals and Hankel determinants2014

    • Author(s)
      M. Ishikawa and J. Zeng
    • Journal Title

      Discrete Math. Theor. Comput. Sci. Proc.

      Volume: AT Pages: 549-560

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Integration of invariant matrices and moments of inverses of Ginibre and Wishart matrices2014

    • Author(s)
      B. Collins, S. Matsumoto and N. Saad
    • Journal Title

      Journal of Multivariate Analysis

      Volume: 126 Pages: 1-13

    • DOI

      10.1016/j.jmva.2013.12.011

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Identities for determinants and Pfaffians, and their applications2014

    • Author(s)
      M. Ishikawa and S. Okada
    • Journal Title

      Sugaku Expositions

      Volume: 未定

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Diagrammatic description of c-vectors and d-vectors of cluster algebras of finite type2014

    • Author(s)
      T. Nakanishi and S. Stella
    • Journal Title

      Electronic Journal of Combinatorics

      Volume: 21

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Correlation functions for zeros of a Gaussian power series and Pfaffians2014

    • Author(s)
      Sho Matsumoto, Tomoyuki Shirai
    • Journal Title

      Journal of Multivariate Analysis

      Volume: 18(49) Pages: 1-18

    • DOI

      10.1214/ejp.v18-2545

    • URL

      http://ejp.ejpecp.org/article/view/2545

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A compound determinant identity for rectangular matrices and determinants of Schur functions2013

    • Author(s)
      M. Ishikawa, M. Ito, and S. Okada
    • Journal Title

      Advances in Applied Mathematics

      Volume: 51 Pages: 635-654

    • DOI

      10.1016/j.aam.2013.08.001

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] (q,t)-Hook formulae2013

    • Author(s)
      岡田 聡一
    • Journal Title

      数理解析研究所講究録

      Volume: 1870 Pages: 46-57

    • Related Report
      2013 Annual Research Report
  • [Journal Article] Pfaffian decomposition and a Pfaffian analogue of q-Catalan Hankel determinants2013

    • Author(s)
      M. Ishikawa, H. Tagawa and J. Zeng
    • Journal Title

      Journal of Combinatorial Theory, Series A

      Volume: 120 Pages: 1263-1284

    • DOI

      10.1016/j.jcta.2013.03.008

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] (q, t)-Hook formulae2013

    • Author(s)
      岡田聡一
    • Journal Title

      数理解析研究所講究録

      Volume: (掲載確定)

    • Related Report
      2012 Annual Research Report
  • [Journal Article] (q, t)-Hook formula for birds2013

    • Author(s)
      石川雅雄
    • Journal Title

      数理解析研究所講究録

      Volume: (掲載確定)

    • Related Report
      2012 Annual Research Report
  • [Journal Article] Leaf posets and multivariate hook length property2013

    • Author(s)
      石川雅雄, 田川裕之
    • Journal Title

      数理解析研究所講究録

      Volume: (掲載確定)

    • Related Report
      2012 Annual Research Report
  • [Journal Article] Moments of a single entry of circular orthogonal ensembles and Weingarten calculus2013

    • Author(s)
      Sho Matsumoto
    • Journal Title

      Letters in Mathematical Physics

      Volume: 103 Pages: 113-130

    • DOI

      10.1007/s11005-012-0587-0

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Pfaffian identities and their applications2012

    • Author(s)
      岡田聡一
    • Journal Title

      2012年表現論シンポジウム講演集

      Pages: 69-91

    • NAID

      130008004999

    • Related Report
      2012 Annual Research Report
  • [Journal Article] Note on dilogarithm identities from nilpotent double affine Hecke algebras2012

    • Author(s)
      Tomoki NAKANISHI
    • Journal Title

      SIGMA

      Volume: 8 Pages: 104-104

    • DOI

      10.3842/sigma.2012.104

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] General moments of matrix elements from circular orthogonal ensembles2012

    • Author(s)
      Sho Matsumoo
    • Journal Title

      Random Matrices : Theory and Applications

      Volume: 1 Pages: 125005-125005

    • DOI

      10.1142/s2010326312500050

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Presentation] Plancherel measures on strict partitions: Polynomiality and limit shape problems2017

    • Author(s)
      Sho Matsumoto
    • Organizer
      Workshop on Asymptotic Reprensentation Theory
    • Place of Presentation
      Institut Henri Poincare, Paris
    • Year and Date
      2017-02-20
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dilogarithm identities in cluster algebras from Hamiltonian/Lagrangian point of view2017

    • Author(s)
      Tomoki Nakanishi
    • Organizer
      Frontiers in Mathematical Physics
    • Place of Presentation
      立教大学,東京
    • Year and Date
      2017-01-08
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dilogarithm identities in cluster algebras from Hamiltonian/Lagrangian point of view2016

    • Author(s)
      Tomoki Nakanishi
    • Organizer
      Quivers, Cluster Algebras and Mathematical Physics
    • Place of Presentation
      Chinese University of Hong Kong, Hong Kong
    • Year and Date
      2016-12-20
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Schur functions and Schur Q-functions2016

    • Author(s)
      岡田 聡一
    • Organizer
      2016 年度表現論シンポジウム
    • Place of Presentation
      オキナワグランメールリゾート,沖縄
    • Year and Date
      2016-12-01
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Symplectic Q-functions2016

    • Author(s)
      岡田 聡一
    • Organizer
      リー型の組合せ論
    • Place of Presentation
      京都大学数理解析研究所,京都
    • Year and Date
      2016-10-04
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Polynomiality of Plancherel averages on strict partitions2016

    • Author(s)
      松本 詔
    • Organizer
      リー型の組合せ論
    • Place of Presentation
      京都大学数理解析研究所,京都
    • Year and Date
      2016-10-04
    • Related Report
      2016 Annual Research Report
  • [Presentation] Pieri rules and oscillating tableaux2016

    • Author(s)
      Soichi Okada
    • Organizer
      77th Seminaire Lotharingien de Combinatoire
    • Place of Presentation
      Strobl, Austria
    • Year and Date
      2016-09-12
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Pfaffian identities and Q-functions2016

    • Author(s)
      Soichi Okada
    • Organizer
      76th Seminaire Lotharingien de Combinatoire
    • Place of Presentation
      Ottrott, France
    • Year and Date
      2016-04-04
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Pfaffian identities and Schur's Q-functions2016

    • Author(s)
      Soichi OKADA
    • Organizer
      Statistical Mechanics and Combinatorics
    • Place of Presentation
      Simons Center for Geometry and Physics, Stony Brook, U.S.A.
    • Year and Date
      2016-03-09
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Introduction to cluster algebras2015

    • Author(s)
      中西 知樹
    • Organizer
      2015 年表現論シンポジウム
    • Place of Presentation
      公共の宿おおとり荘,伊豆長岡
    • Year and Date
      2015-11-18
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Generalized parking spaces2015

    • Author(s)
      岡田 聡一
    • Organizer
      2015 年表現論シンポジウム
    • Place of Presentation
      公共の宿おおとり荘,伊豆長岡
    • Year and Date
      2015-11-17
    • Related Report
      2015 Annual Research Report
  • [Presentation] Young books and q-Selberg integrals2015

    • Author(s)
      岡田 聡一
    • Organizer
      組合せ論的表現論とその周辺
    • Place of Presentation
      京都大学数理解析研究所,京都
    • Year and Date
      2015-10-21
    • Related Report
      2015 Annual Research Report
  • [Presentation] 穴あきアステカ長方形のドミノタイリングと超幾何級数2015

    • Author(s)
      石川 雅雄
    • Organizer
      組合せ論的表現論とその周辺
    • Place of Presentation
      京都大学数理解析研究所,京都
    • Year and Date
      2015-10-21
    • Related Report
      2015 Annual Research Report
  • [Presentation] Weingarten calculus と 対称群の調和解析2015

    • Author(s)
      松本 詔
    • Organizer
      日本数学会2015年度秋季総合分科会,函数解析学分科会 特別講演
    • Place of Presentation
      京都産業大学,京都
    • Year and Date
      2015-09-14
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Cluster algebras and applications2015

    • Author(s)
      Tomoki Nakanishi
    • Organizer
      School and International Conference on Geometry and Quantization GEOQUANT 2015
    • Place of Presentation
      Instituto de Ciencias Matematicas, Madrid, Spain
    • Year and Date
      2015-09-07
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the existence of generalized parking spaces for complex reflection groups2015

    • Author(s)
      Soichi OKADA
    • Organizer
      2015 Combinatorics Workshop
    • Place of Presentation
      National Institute for Mathematical Sciences, Daejeon, Korea
    • Year and Date
      2015-07-16
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] The domino tilings of Aztec rectangles with consecutive holes and the Gauss hypergeometric series2015

    • Author(s)
      Masao Ishikawa
    • Organizer
      2015 Combinatorics Workshop
    • Place of Presentation
      National Institute for Mathematical Sciences, Daejeon, Korea
    • Year and Date
      2015-07-16
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the existence of generalized parking spaces for complex reflection groups2015

    • Author(s)
      Soichi OKADA
    • Organizer
      2015 Joint Meeting of AMS/EMS/SPM, Special Session on Algebraic Combinatorics and Representation Theory
    • Place of Presentation
      Universidade do Porto, Porto, Portugal
    • Year and Date
      2015-06-10
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Generalized Cauchy determinant and Schur Pfaffian, and their applications2015

    • Author(s)
      Soichi OKADA
    • Organizer
      Lattice Models: Exact Methods and Combinatorics
    • Place of Presentation
      Galileo Galilei Institute for Theoretical Physics, Firenze, Italy
    • Year and Date
      2015-05-21
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On generalized cluster algebras2015

    • Author(s)
      Tomoki Nakanishi
    • Organizer
      Ninth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory
    • Place of Presentation
      University of Georgia, Athens, USA
    • Year and Date
      2015-04-01
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] On the existence of generalized parking spaces for complex reflection groups2015

    • Author(s)
      S. Okada
    • Organizer
      Dynamical Algebraic Combinatorics
    • Place of Presentation
      American Institute of Mathematics, San Jose, U.S.A.
    • Year and Date
      2015-03-25
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] 円βアンサンブルのトレースの中心極限定理2014

    • Author(s)
      松本 詔
    • Organizer
      確率論シンポジウム
    • Place of Presentation
      京都大学数理解析研究所,京都
    • Year and Date
      2014-12-19
    • Related Report
      2014 Annual Research Report
  • [Presentation] On generalized cluster algebras2014

    • Author(s)
      T. Nakanishi
    • Organizer
      Strings, Quivers and Cluster Algebras in Mathematical Physics
    • Place of Presentation
      KIAS, Seoul, Korea
    • Year and Date
      2014-12-18
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Selberg integrals and evaluations of hyperpfaffians2014

    • Author(s)
      石川 雅雄
    • Organizer
      組合せ論的表現論と表現論的組合せ論
    • Place of Presentation
      京都大学数理解析研究所,京都
    • Year and Date
      2014-10-31
    • Related Report
      2014 Annual Research Report
  • [Presentation] Schur-type Pfaffians and their applications to symmetric function identities2014

    • Author(s)
      岡田 聡一
    • Organizer
      日本数学会 2014 年度秋季総合分科会,無限可積分系セッション
    • Place of Presentation
      広島大学,広島
    • Year and Date
      2014-09-25
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Pfaffian formulae and their applications to symmetric function identities2014

    • Author(s)
      S. Okada
    • Organizer
      73rd Seminaire Lotharingien de Combinatoire
    • Place of Presentation
      Bundesinstitut fur Erwachsenenbildung, Strobl, Austria
    • Year and Date
      2014-09-09
    • Related Report
      2014 Annual Research Report
  • [Presentation] Restricted Littlewood formulae and minor summation formula2014

    • Author(s)
      S. Okada
    • Organizer
      19th International Linear Algebra Society conference, Minisymposium on Algebraic Combinatorics and Combinatorial Matrices
    • Place of Presentation
      Sungkyunkwan University, Seoul, Korea
    • Year and Date
      2014-08-09
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Selberg integrals and evaluations of Pfaffians2014

    • Author(s)
      M. Ishikawa
    • Organizer
      19th International Linear Algebra Society conference, Minisymposium on Algebraic Combinatorics and Combinatorial Matrices
    • Place of Presentation
      Sungkyunkwan University, Seoul, Korea
    • Year and Date
      2014-08-08
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Greatest common divisors of specialized Schur functions2014

    • Author(s)
      S. Okada
    • Organizer
      Japan Conference on Graph Theory and Combinatorics
    • Place of Presentation
      日本大学,東京
    • Year and Date
      2014-05-18
    • Related Report
      2014 Annual Research Report
  • [Presentation] Greatest common divisors of specialized Schur functions and generalized parking spaces2014

    • Author(s)
      S. Okada
    • Organizer
      Rutgers Experimental Mathematics Seminar
    • Place of Presentation
      Rutgers University, New Brunswick, U.S.A.
    • Year and Date
      2014-04-17
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] (q, t)-Hook formula for birds and banners2013

    • Author(s)
      Masao ISHIKAWA
    • Organizer
      Bethe Ansatz, Quantum Groups and Beyond
    • Place of Presentation
      京都大学数理解析研究所, 京都(招待講演)
    • Year and Date
      2013-03-09
    • Related Report
      2012 Annual Research Report
  • [Presentation] Wonder of sine-Gordon Y-systems2013

    • Author(s)
      Tomoki NAKANISHI
    • Organizer
      Bethe Ansatz, Quantum Groups and Beyond
    • Place of Presentation
      京都大学数理解析研究所, 京都(招待講演)
    • Year and Date
      2013-03-09
    • Related Report
      2012 Annual Research Report
  • [Presentation] Pfaffian identities and their applications2012

    • Author(s)
      岡田聡一
    • Organizer
      2012年表現論シンポジウム
    • Place of Presentation
      鹿児島マリンパレス, 鹿児島(招待講演)
    • Year and Date
      2012-12-05
    • Related Report
      2012 Annual Research Report
  • [Presentation] Diagrammatic description of c-vectors and d-vectors of cluster algebras of finite type2012

    • Author(s)
      Tomoki NAKANISHI
    • Organizer
      Cluster Algebras in Combinatorics, Algebra, and Geometry
    • Place of Presentation
      Mathematical Sciences Research Institute, Berkeley, U.S.A.(招待講演)
    • Year and Date
      2012-10-30
    • Related Report
      2012 Annual Research Report
  • [Presentation] (q, t)-Hook formulae2012

    • Author(s)
      岡田聡一
    • Organizer
      組合せ論的表現論とその周辺
    • Place of Presentation
      京都大学数理解析研究所,京都(招待講演)
    • Year and Date
      2012-10-10
    • Related Report
      2012 Annual Research Report
  • [Presentation] Symmetric functions and branching rules for spinor representations2012

    • Author(s)
      Soichi OKADA
    • Organizer
      2012 Shanghai Conference on Algebraic Combinatorics
    • Place of Presentation
      Shanghai Jiao Tong University, Shanghai, China(招待講演)
    • Year and Date
      2012-08-18
    • Related Report
      2012 Annual Research Report
  • [Presentation] (q, t)-Hook formula for birds2012

    • Author(s)
      Masao ISHIKAWA
    • Organizer
      Algebraic Combinatorics related to Young diagrams and Statistical Physics
    • Place of Presentation
      国際高等研究所, 木津川(招待講演)
    • Year and Date
      2012-08-10
    • Related Report
      2012 Annual Research Report
  • [Presentation] Zeros of a Gaussian power series and Pfaffian2012

    • Author(s)
      Sho MATSUMOTO
    • Organizer
      Algebraic Combinatorics related to Young diagrams and Statistical Physics
    • Place of Presentation
      国際高等研究所, 木津川(招待講演)
    • Year and Date
      2012-08-07
    • Related Report
      2012 Annual Research Report
  • [Presentation] Hook product formulae

    • Author(s)
      S. Okada
    • Organizer
      Asian Mathematical Conference,Special Session on Combinatorics/Graph Theory/Cryptography/Coding Theory
    • Place of Presentation
      BEXCO, Busan, Korea
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Greatest common divisors of specialized Schur functions

    • Author(s)
      S. Okada
    • Organizer
      72nd Seminaire Lotharingien de Combinatoire
    • Place of Presentation
      Universite Lyon 1, Lyon, France
    • Related Report
      2013 Annual Research Report
  • [Presentation] A generalization of Mehta-Wang determinant and Askey-Wilson polynomials

    • Author(s)
      V. Guo, M. Ishikawa, H. Tagawa and J. Zeng
    • Organizer
      The 25th International Conference on Formal Power Series and Algebraic Combinatorics
    • Place of Presentation
      Universite Sorbonne Nouvelle, Paris, France
    • Related Report
      2013 Annual Research Report
  • [Presentation] Wonder of sine-Gordon Y-system

    • Author(s)
      T. Nakanishi
    • Organizer
      Algebra, Combinatorics and Representation Theory: in memory of Andrei Zelevinsky
    • Place of Presentation
      Northeastern University, Boston, USA
    • Related Report
      2013 Annual Research Report
    • Invited

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Published: 2012-04-23   Modified: 2022-01-31  

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