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Modern study on homogeneous spaces and unitary representations via duality

Research Project

Project/Area Number 18204008
Research Category

Grant-in-Aid for Scientific Research (A)

Allocation TypeSingle-year Grants
Section一般
Research Field Basic analysis
Research InstitutionHokkaido University

Principal Investigator

YAMASHITA Hiroshi  Hokkaido University, 大学院・理学研究院, 教授 (30192793)

Co-Investigator(Kenkyū-buntansha) YOSHIDA Tomoyuki  北海道大学, 大学院・理学研究院, 教授 (30002265)
YAMAGUCHI Keizo  北海道大学, 大学院・理学研究院, 教授 (00113639)
SAITO Mutsumi  北海道大学, 大学院・理学研究院, 准教授 (70215565)
SHIBUKAWA Youichi  北海道大学, 大学院・理学研究院, 准教授 (90241299)
TACHIZAWA Kazuya  北海道大学, 大学院・理学研究院, 准教授 (80227090)
KAWAZOE Takeshi  慶應義塾大学, 総合政策学部, 教授 (90152959)
MATUMOTO Hisayosi  東京大学, 大学院・数理科学研究科, 准教授 (50272597)
TANIGUCHI Kenji  青山学院大学, 理工学部, 准教授 (20306492)
WACHI Akihito  北海道教育大学, 教育学部, 准教授 (30337018)
NISHIYAMA Kyo  青山学院大学, 理工学部, 教授 (70183085)
MATSUKI Toshihiko  京都大学, 大学院・理学研究科, 教授 (20157283)
SEKIGUCHI Jiro  東京農工大学, 大学院・共生科学技術研究部, 教授 (30117717)
ISHI Hideyuki  名古屋大学, 大学院・多元数理科学研究科, 准教授 (00326068)
SHIMENO Nobukazu  関西学院大学, 理工学部, 教授 (60254140)
Co-Investigator(Renkei-kenkyūsha) MORITA Hideaki  室蘭工業大学, 大学院・工学研究科, 准教授 (90435412)
Research Collaborator HIRAI Takeshi  京都大学, 名誉教授 (70025310)
Project Period (FY) 2006 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥41,600,000 (Direct Cost: ¥32,000,000、Indirect Cost: ¥9,600,000)
Fiscal Year 2009: ¥9,230,000 (Direct Cost: ¥7,100,000、Indirect Cost: ¥2,130,000)
Fiscal Year 2008: ¥10,270,000 (Direct Cost: ¥7,900,000、Indirect Cost: ¥2,370,000)
Fiscal Year 2007: ¥11,830,000 (Direct Cost: ¥9,100,000、Indirect Cost: ¥2,730,000)
Fiscal Year 2006: ¥10,270,000 (Direct Cost: ¥7,900,000、Indirect Cost: ¥2,370,000)
Keywords半単純リー群 / ユニタリ表現 / 冪零軌道 / 幾何学的不変量 / Howe双対性 / Whittaker模型 / 旗多様体 / 微分方程式系 / テータ対応 / 微分作用素環 / 調和解析 / 一般Whittaker模型 / 実調和解析 / 双対性 / ヴェイユ表現 / 表現の分岐 / 離散系列 / 離散系列表現 / Whittakerベクトル / 等方表現 / 不変量
Research Abstract

We have aimed at new development of representation theory of semisimple Lie groups and harmonic analysis on homogeneous spaces, by focusing our attention to various duality concerning representations and group orbits. Among other things, the Howe duality correspondence has been clearly understood in connection with generalized Whittaker models and isotropy representations for unitary highest weight modules. We have studied geometric invariants for discrete series and degenerate principal series representations. Significant achievements of this research projectinclude complex analytic continuation of the Matsuki duality on flag variety, classification of homomorphisms between generalized Verma modules, and numbers of contributions by other related researches.

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

    (118 results)

All 2010 2009 2008 2007 2006 Other

All Journal Article (47 results) (of which Peer Reviewed: 39 results) Presentation (53 results) Book (3 results) Remarks (15 results)

  • [Journal Article] Critical modules of the ring of differential operators of an affine semigroup algebra2010

    • Author(s)
      Mutsumi Saito
    • Journal Title

      Communications in Algebra 38

      Pages: 618-631

    • NAID

      120002725535

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The spectrum of the graded ring of differential operators of a scored semigroup algebra2010

    • Author(s)
      Mutsumi Saito
    • Journal Title

      Communications in Algebra 38

      Pages: 829-847

    • NAID

      120002834685

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] FRT construction for dynamical Yang-Baxter maps2010

    • Author(s)
      Youichi Shibukawa
    • Journal Title

      Journal of Algebra 323

      Pages: 1698-1728

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The representative domain of a homogeneous bounded domain2010

    • Author(s)
      Hideyuki Ishi
    • Journal Title

      Kyushu Journal of Mathematics 64

      Pages: 35-47

    • NAID

      130000259012

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A note on Howe duality correspondence and isotropy representations for unitary lowest weight modules of Mp(n, R)2009

    • Author(s)
      Noriyuki Abe, Hiroshi Yamashita
    • Journal Title

      Journal of Lie Theory 19

      Pages: 671-683

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] A note on Howe duality correspondence and isotropy representations for unitary lowest weight modules of Mp(n,R)2009

    • Author(s)
      Hiroshi Yamashita
    • Journal Title

      Journal of Lie Theory 19

      Pages: 671-683

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Noetherian properties of rings of differential operators of affine semigroup algebras2009

    • Author(s)
      Mutsumi Saito
    • Journal Title

      Osaka Journal of Mathematics 46

      Pages: 529-556

    • NAID

      120004845852

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] H^1 estimates of Litlewood-Paley and Lusin functions for Jacobi analysis2009

    • Author(s)
      Takeshi Kawazoe
    • Journal Title

      Analysis in Theory and Applications 25

      Pages: 201-229

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Generic initial ideals, graded Betti numbers, and k-Lefschetz properties2009

    • Author(s)
      Akihito Wachi
    • Journal Title

      Communications in Algebra 37

      Pages: 4012-4025

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A classification of weighted homogeneous Saito free divisors2009

    • Author(s)
      Jiro Sekiguchi
    • Journal Title

      Journal of Mathematical Society of Japan 61

      Pages: 1071-1095

    • NAID

      10026998607

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A torus subgroup of the isotropy group of a bounded homogeneous domain2009

    • Author(s)
      Hideyuki Ishi
    • Journal Title

      Manuscripta Mathematica 130

      Pages: 353-358

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Zero-dimensional Gorenstein algebras with the action of the symmetric group2009

    • Author(s)
      Hideaki Morita
    • Journal Title

      Rendiconti del Seminario Matematico della Universita di Padova 121

      Pages: 45-71

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Noetherian properties of rings of differential operators of affine semigroup algebras2009

    • Author(s)
      Mutsumi Saito
    • Journal Title

      Osaka Journal of Mathematics 46(掲載決定)

    • NAID

      120004845852

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A generalization of Miyachi's theorem2009

    • Author(s)
      Takeshi Kawazoe
    • Journal Title

      J. Math. Soc. Japan 61

      Pages: 1-8

    • NAID

      10024905813

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Kyo Nishiyama and Akihito Wachi, Intersection of harmonics and Capelli identities for symmetric pairs2008

    • Author(s)
      Soo Teck Lee
    • Journal Title

      J. Math. Soc. Japan 60

      Pages: 955-982

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Real Hardy space for Jacobi analysis and its applications2008

    • Author(s)
      Takeshi Kawazoe
    • Journal Title

      Proceedings of the 4th German-Japanese symposium "Infinite Dimensional Harmonic Analysis IV"

      Pages: 149-162

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A note on the Capelli identities for symmetric pairs of Hermitian type2008

    • Author(s)
      Kyo Nishiyama
    • Journal Title

      Proceedings of the 4th German-Japanese symposium "Infinite Dimensional Harmonic Analysis IV"

      Pages: 223-254

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An irreducible homogeneous non-selfdual cone of arbitrary rank linearly isomorphic to the dual cone2008

    • Author(s)
      Hideyuki Ishi
    • Journal Title

      Proceedings of the 4th German-Japanese symposium "Infinite Dimensional Harmonic Analysis IV"

      Pages: 129-134

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Uncertainty principles for Jacobi analysis2008

    • Author(s)
      Takeshi Kawazoe
    • Journal Title

      Tokyo J. Math. 31

      Pages: 127-146

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Wavelet characterizations of weighted Herz spaces2008

    • Author(s)
      Kazuya Tachizawa
    • Journal Title

      Scientiae Mathematicae Japonicae 67

      Pages: 353-363

    • NAID

      10021089666

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Intersection of harmonics and Capelli identities for symmetric pairs2008

    • Author(s)
      Soo Teck Lee
    • Journal Title

      J. Math. Soc. Japan 60

      Pages: 955-982

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Studies on systems of six lines on a projective plane over a prime field2008

    • Author(s)
      Jiro Sekiguchi
    • Journal Title

      J. Siberian Federal Univ., Mathematicas and Physics 2

      Pages: 41-50

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Character theoretical aspects of nilpotency class2008

    • Author(s)
      Tomoyuki Yoshida
    • Journal Title

      Communications in Algebra 36

      Pages: 2625-2637

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Tube domain and an orbit of a complex triangular group2008

    • Author(s)
      Hideyuki Ishi
    • Journal Title

      Math. Z. 259

      Pages: 697-711

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The isotropy groups of Siegel domains2008

    • Author(s)
      伊師英之
    • Journal Title

      数理解析研究所講究録 1613

      Pages: 43-49

    • Related Report
      2008 Annual Research Report
  • [Journal Article] Three dimensional Saito free divisors and singular curves2008

    • Author(s)
      Jiro Sekiguchi
    • Journal Title

      Journal of Siberian Federal University, Mathematics and Physics 1

      Pages: 33-41

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A product formula for hypergeometric polynomials of type 2F_02008

    • Author(s)
      Tomoyuki Yoshida
    • Journal Title

      Hokkaido Mathematical Journal(掲載決定) (印刷中)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Equivalence of domains arising from duality of orbits on flag manifolds III2007

    • Author(s)
      Toshihiko Matsuki
    • Journal Title

      Transactions of American Mathematical Society 359

      Pages: 4773-4786

    • NAID

      120002511246

    • Related Report
      2009 Final Research Report 2008 Self-evaluation Report 2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Derived functor modules arising as large irreducible constituents of degenerate principal series2007

    • Author(s)
      Hisayosi Matumoto
    • Journal Title

      Compositio Math. 143

      Pages: 222-256

    • Related Report
      2009 Final Research Report 2006 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Dynamical Yang-Baxter maps with an invariance condition2007

    • Author(s)
      Youichi Shibukawa
    • Journal Title

      Publications of the Research Institute for Mathematical Sciences 43

      Pages: 1157-1182

    • NAID

      110006477215

    • Related Report
      2009 Final Research Report 2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Derived functor modules arising as large irreducible constituents of degenerate principal series2007

    • Author(s)
      Hisayosi Matumoto
    • Journal Title

      Compositio Math 143

      Pages: 222-256

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Dynamical Yang-Baxter maps with an invariance condition2007

    • Author(s)
      Youichi Shibukawa
    • Journal Title

      Publications of the Research Institute for Mathematical Sciences, Kyoto University 43

      Pages: 1157-1182

    • NAID

      110006477215

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The strong Lefschetz property of the coinvariant ring of the Coxeter group of type H_42007

    • Author(s)
      Akihito Wachi
    • Journal Title

      Journal of Algebra 318

      Pages: 1032-1038

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Geometry of linear differential systems towards contact geometry of second order2007

    • Author(s)
      Keizo Yamaguchi
    • Journal Title

      IMA Volumes in Mathematics and its Applications 144

      Pages: 151-203

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On Hardy's theorem on SU(1,1)2007

    • Author(s)
      Takeshi Kawazoe
    • Journal Title

      Chinese Annals of Mathematics 28

      Pages: 429-440

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Primitive ideals of the ring of differential operators on an affine toric variety2007

    • Author(s)
      Mutsumi Saito
    • Journal Title

      Tohoku Math. J. 59・1

      Pages: 119-144

    • NAID

      110006196742

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Parabolic geometries associated with differential equations of finite type2007

    • Author(s)
      Keizo Yamaguchi
    • Journal Title

      Progress in Math. 252

      Pages: 161-209

    • NAID

      120006459462

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Equivalence of domains arising from duality of orbits on flag manifolds. II2006

    • Author(s)
      Toshihiko Matsuki
    • Journal Title

      Proc. Amer. Math. Soc. 134・12

      Pages: 3423-3428

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Equivalence of domains arising from duality of orbits on flag manifolds2006

    • Author(s)
      Toshihiko Matsuki
    • Journal Title

      Trans. Amer. Math. Soc. 358・5

      Pages: 2217-2245

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Generalizad Hardy's theorem for the Jacobi transform2006

    • Author(s)
      Takeshi Kawazoe
    • Journal Title

      Hiroshima Math. J. 36

      Pages: 331-337

    • Related Report
      2006 Annual Research Report
  • [Journal Article] On symplectic representations of normal $j$-algebras and their application to Xu's realizations of Siegel domains2006

    • Author(s)
      Hideyuki Ishi
    • Journal Title

      Differential Geom. Appl. 24・6

      Pages: 588-612

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Central elements in the universal enveloping algebras for the split realization of the orthogonal Lie algebras2006

    • Author(s)
      Akihito Wachi
    • Journal Title

      Letters in Math. Phys. 77

      Pages: 155-168

    • Related Report
      2006 Annual Research Report
  • [Journal Article] A note on Howe duality correspondence and isotropy representations for unitary lowest weight modules of Mp(n,R),

    • Author(s)
      Noriyuki Abe and Hiroshi Yamashita
    • Journal Title

      Journalof Lie Theory (掲載決定)

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] A note on Howe duality correspondence and isotropy representations for unitary lowest weight modules of Mp(n, R)

    • Author(s)
      Hiroshi Yamashita
    • Journal Title

      Journal of Lie Theory (掲載決定)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Critical modules of the ring of differential operators of an affine semigroup algebra

    • Author(s)
      Mutsumi Saito
    • Journal Title

      Communications in Algebra (掲載決定)

    • NAID

      120002725535

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The spectrum of the graded ring of differential operators of a scored semigroup algebra

    • Author(s)
      Mutsumi Saito
    • Journal Title

      Communications in Algebra (掲載決定)

    • NAID

      120002834685

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Wavelet characterization of weighted spaces

    • Author(s)
      Kazuya Tachizawa
    • Journal Title

      数理解析研究所講究録別冊 (掲載決定)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Presentation] 対称群を使った分割表のランダムサンプリングと一致数の正確な生起確率2010

    • Author(s)
      吉田知行
    • Organizer
      代数的組合せ論
    • Place of Presentation
      神戸学院大学
    • Year and Date
      2010-03-18
    • Related Report
      2009 Annual Research Report
  • [Presentation] Mackey functorとその周辺2010

    • Author(s)
      吉田知行
    • Organizer
      有限群論の集い
    • Place of Presentation
      愛知教育大学
    • Year and Date
      2010-02-16
    • Related Report
      2009 Annual Research Report
  • [Presentation] On a finite W-algebra module structure on the space of continuous Whittaker vectors for an irreducible Harish-Chandra module2010

    • Author(s)
      Hisayosi Matumoto
    • Organizer
      The 9th Workshop on Nilpotent Orbits and Representation Theory
    • Place of Presentation
      北海道大学
    • Related Report
      2009 Annual Research Report
  • [Presentation] Capelli identities and b-functions of prehomogeneous vector spaces2010

    • Author(s)
      Akihito Wachi
    • Organizer
      Workshop on Invariant Theory and Related Topics
    • Place of Presentation
      仁荷大学(韓国)
    • Related Report
      2009 Annual Research Report
  • [Presentation] Symmetric pairs and Capelli identities2010

    • Author(s)
      Akihito Wachi
    • Organizer
      Workshop on Invariant Theory and Related Topics
    • Place of Presentation
      仁荷大学(韓国)
    • Related Report
      2009 Annual Research Report
  • [Presentation] Discrete series Whittaker functions on Spin(2n,2)2009

    • Author(s)
      Kenji Taniguchi
    • Organizer
      AGU Lectures on Representation Theory
    • Place of Presentation
      青山学院大学
    • Year and Date
      2009-10-22
    • Related Report
      2009 Annual Research Report
  • [Presentation] Finite Gelfand pairs and Markov chain Monte-Carlo method2009

    • Author(s)
      吉田知行
    • Organizer
      RIMS研究集会「表現論と組合せ論」
    • Place of Presentation
      北海道大学
    • Year and Date
      2009-08-28
    • Related Report
      2009 Annual Research Report
  • [Presentation] 分割表生成のための群論的方法2009

    • Author(s)
      吉田知行
    • Organizer
      代数的組み合わせ論シンポジウム
    • Place of Presentation
      山形大学
    • Year and Date
      2009-06-24
    • Related Report
      2009 Annual Research Report
  • [Presentation] 簡約リー群の無限次元既約表現に対する幾何学的不変量,モデル,双対性をめぐって2009

    • Author(s)
      山下博
    • Organizer
      数学連携研究センター「数学連携サロン」
    • Place of Presentation
      北海道大学
    • Year and Date
      2009-03-24
    • Related Report
      2008 Annual Research Report
  • [Presentation] 実射影平面の8直線の配置とE8型ルート系2009

    • Author(s)
      関口次郎
    • Organizer
      研究会「表現的幾何」
    • Place of Presentation
      名古屋大学
    • Year and Date
      2009-03-14
    • Related Report
      2008 Annual Research Report
  • [Presentation] On homomorphisms between scalar generalized Verma modules2009

    • Author(s)
      Hisayosi Matumoto
    • Organizer
      The 8th Workshop on Nilpotent Orbits and Representation Theory
    • Place of Presentation
      大津市
    • Year and Date
      2009-03-09
    • Related Report
      2008 Annual Research Report
  • [Presentation] The number of nilpotent orbits for symmetric pairs2009

    • Author(s)
      Akihito Wachi
    • Organizer
      The 8th Workshop on Nilpotent Orbits and Representation Theory
    • Place of Presentation
      大津市
    • Year and Date
      2009-03-08
    • Related Report
      2008 Annual Research Report
  • [Presentation] Saito free divisors and integrable connections2009

    • Author(s)
      関口次郎
    • Organizer
      RIMS短期共同研究「微分方程式のモノドロミーをめぐる諸問題」
    • Place of Presentation
      京都大学
    • Year and Date
      2009-02-03
    • Related Report
      2008 Annual Research Report
  • [Presentation] Unitary reflection groups and uniformization differential equations, Conference in honor of Professor Toshio Oshima's 60th birthday2009

    • Author(s)
      Jiro Sekiguchi
    • Organizer
      Differential Equations and Symmetric Spaces
    • Place of Presentation
      Univ. of Tokyo, Japan
    • Year and Date
      2009-01-14
    • Related Report
      2009 Final Research Report
  • [Presentation] Unitary reflection groups and uniformization differential equations2009

    • Author(s)
      Jiro Sekiguchi
    • Organizer
      Differential Equations and Symmetric Spaces
    • Place of Presentation
      東京大学
    • Year and Date
      2009-01-14
    • Related Report
      2008 Annual Research Report
  • [Presentation] Analysis and geometry on homogeneous spaces2009

    • Author(s)
      Toshihiko Matsuki
    • Organizer
      Differential Equations and Symmetric Spaces
    • Place of Presentation
      東京大学
    • Year and Date
      2009-01-14
    • Related Report
      2008 Annual Research Report
  • [Presentation] On homomorphisms between scalar generalized Verma modules2009

    • Author(s)
      Hisayosi Matumoto
    • Organizer
      Differential Equations and Symmetric Spaces
    • Place of Presentation
      東京大学
    • Year and Date
      2009-01-13
    • Related Report
      2008 Annual Research Report
  • [Presentation] A-hypergeometric irreducible modules2009

    • Author(s)
      齋藤睦
    • Organizer
      超幾何方程式研究会2009
    • Place of Presentation
      神戸大学
    • Year and Date
      2009-01-07
    • Related Report
      2008 Annual Research Report
  • [Presentation] Generalized Whittaker models for Harish-Chandra modules2009

    • Author(s)
      Hiroshi Yamashita
    • Organizer
      2009 Nankai summer school, Representation Theory and Harmonic Analysis
    • Place of Presentation
      Nankai Univ., China
    • Related Report
      2009 Final Research Report
  • [Presentation] Generalized Whittaker models for Harish-Chandra modules2009

    • Author(s)
      Hiroshi Yamashita
    • Organizer
      2009 Nankai summer school, Representation Theory and Harmonic Analysis
    • Place of Presentation
      南開大学(中国)
    • Related Report
      2009 Annual Research Report
  • [Presentation] On existence of homomorphisms between generalized Verma modules2009

    • Author(s)
      Hisayosi Matumoto
    • Organizer
      Representation Theory of Real Reductive Groups
    • Place of Presentation
      ユタ大学(米国)
    • Related Report
      2009 Annual Research Report
  • [Presentation] Equivariant holomorphic line bundles over a bounded homogeneous domain2009

    • Author(s)
      Hideyuki Ishi
    • Organizer
      JSPS-MHESRT日本チュニジア共同セミナー「等質空間上の幾何学的調和解析」
    • Place of Presentation
      ケルケナ(チュニジア)
    • Related Report
      2009 Annual Research Report
  • [Presentation] Whittaker模型の組成列について2009

    • Author(s)
      谷口健二
    • Organizer
      2009年度表現論ワークショップ
    • Place of Presentation
      鳥取市
    • Related Report
      2009 Annual Research Report
  • [Presentation] 鏡映群と一意化方程式2009

    • Author(s)
      関口次郎
    • Organizer
      2009年度表現論シンポジウム
    • Place of Presentation
      宜野湾市
    • Related Report
      2009 Annual Research Report
  • [Presentation] 対称対の冪零軌道の組合せ論とHarish-Chandra加群の隨伴多様体2009

    • Author(s)
      和地輝仁
    • Organizer
      2009年度表現論シンポジウム
    • Place of Presentation
      宜野湾市
    • Related Report
      2009 Annual Research Report
  • [Presentation] Logarithmic derivative and Capelli identities2009

    • Author(s)
      和地輝仁
    • Organizer
      RIMS研究集会「群の表現と非可換調和解析の新展開」
    • Place of Presentation
      京都大学
    • Related Report
      2009 Annual Research Report
  • [Presentation] Whittaker関数の計算に現れた高階Horn超幾何方程式2008

    • Author(s)
      谷口健二
    • Organizer
      2008年度表現論ワークショップ
    • Place of Presentation
      鳥取市
    • Year and Date
      2008-12-25
    • Related Report
      2008 Annual Research Report
  • [Presentation] H_1 estimates of the Littlewood-Paley and Lusin function for Jacobi analysis2008

    • Author(s)
      Takeshi Kawazoe
    • Organizer
      Internationa Conference on Harmonic Analysis and its Applications
    • Place of Presentation
      広州大学(中国)
    • Year and Date
      2008-12-14
    • Related Report
      2008 Annual Research Report
  • [Presentation] Random generations of contingency tables and representation theory of symmetric groups2008

    • Author(s)
      Tomoyuki Yoshida
    • Organizer
      Computational Algebraic Statistics, Theories and Applications 2008
    • Place of Presentation
      京都大学
    • Year and Date
      2008-12-11
    • Related Report
      2008 Annual Research Report
  • [Presentation] An Inverse Problem in Metal-Archaeology2008

    • Author(s)
      Tomoyuki Yoshida
    • Organizer
      Computational Algebraic Statistics, Theories and Applications 2008
    • Place of Presentation
      京都大学
    • Year and Date
      2008-12-11
    • Related Report
      2008 Annual Research Report
  • [Presentation] Construction of an invariant inner product on a representation space induced from a nonunitary representation2008

    • Author(s)
      Hideyuki Ishi
    • Organizer
      Harmonic anlysis, operator algebras and representations
    • Place of Presentation
      Luminy(フランス)
    • Year and Date
      2008-11-05
    • Related Report
      2008 Annual Research Report
  • [Presentation] Schatten-von Neumann classes of pseudodifferential operators2008

    • Author(s)
      Kazuya Tachizawa
    • Organizer
      Harmonic Analysis and its Applications at Tokyo 2008
    • Place of Presentation
      首都大学東京
    • Year and Date
      2008-10-11
    • Related Report
      2008 Annual Research Report
  • [Presentation] (H, X)-bialgebroids associated with dynamical Yang-Baxter maps and their dynamical representations2008

    • Author(s)
      澁川陽一
    • Organizer
      RIMS研究集会「組合せ論的表現論の拡がり」
    • Place of Presentation
      京都大学
    • Year and Date
      2008-10-09
    • Related Report
      2008 Annual Research Report
  • [Presentation] Unitary reflection groups of rank three and Saito Free Divisors2008

    • Author(s)
      Jiro Sekiguchi
    • Organizer
      The 6-th Joint Russia-Japan Symposium "Geometry and Analysis on Complex Algebraic Varieties"
    • Place of Presentation
      モスクワ独立大学(ロシア)
    • Year and Date
      2008-09-26
    • Related Report
      2008 Annual Research Report
  • [Presentation] (H, X)-bialgebroids associated with dynamical Yang-Baxter maps and their dynamical representations2008

    • Author(s)
      澁川陽一
    • Organizer
      日本数学会秋季総合分科会無限可積分系セッション
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-25
    • Related Report
      2008 Annual Research Report
  • [Presentation] 半単純軌道の漸近錐と退化主系列表現2008

    • Author(s)
      西山享
    • Organizer
      RIMS研究集会「表現論と非可換調和解析における新しい視点」
    • Place of Presentation
      京都大学
    • Year and Date
      2008-09-16
    • Related Report
      2008 Annual Research Report
  • [Presentation] On homomorphisms between scalar generalized Verma modules2008

    • Author(s)
      Hisayosi Matumoto
    • Organizer
      Mini-Workshop on Representation Theory
    • Place of Presentation
      東京大学
    • Year and Date
      2008-09-14
    • Related Report
      2008 Annual Research Report
  • [Presentation] グラフのカテゴリーと彩色多項式2008

    • Author(s)
      吉田知行
    • Organizer
      離散数学とその応用研究集会2008
    • Place of Presentation
      茨城大学
    • Year and Date
      2008-08-22
    • Related Report
      2008 Annual Research Report
  • [Presentation] Bialgebroids related to dynamical Yang-Baxter maps2008

    • Author(s)
      Youichi Shibukawa
    • Organizer
      Noncommutative Structures in Mathematics and Physics
    • Place of Presentation
      Paleis der Academien(ベルギー)
    • Year and Date
      2008-07-22
    • Related Report
      2008 Annual Research Report
  • [Presentation] Asymptotic cone of semisimple orbit for symmetric pairs2008

    • Author(s)
      Kyo Nishiyama
    • Organizer
      Functional Analysis X: Representation Theory
    • Place of Presentation
      Croatia
    • Year and Date
      2008-07-01
    • Related Report
      2009 Final Research Report
  • [Presentation] Asymptotic cone of semisimple orbit for symmetric pairs,2008

    • Author(s)
      Kyo Nishiyama
    • Organizer
      Functional Analysis X : Representation Theory
    • Place of Presentation
      Croatia
    • Year and Date
      2008-07-01
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] Asymptotic cone of semisimple orbit for symmetric pairs2008

    • Author(s)
      Kyo Nishiyama
    • Organizer
      Functional Analysis X-Representation Theory-
    • Place of Presentation
      IUC(クロアチア)
    • Year and Date
      2008-07-01
    • Related Report
      2008 Annual Research Report
  • [Presentation] 有限群上のランダムウォークと統計学への応用2008

    • Author(s)
      吉田知行
    • Organizer
      第25回代数的組合せ論研究集会
    • Place of Presentation
      北海道大学
    • Year and Date
      2008-06-24
    • Related Report
      2008 Annual Research Report
  • [Presentation] Matrix T-algebras and Jordan algebras, Hermitian Symmetric Spaces2008

    • Author(s)
      Hideyuki Ishi
    • Organizer
      Jordan Algebras and related problems
    • Place of Presentation
      Luminy, France
    • Year and Date
      2008-06-23
    • Related Report
      2009 Final Research Report
  • [Presentation] Matrix T-algebras and Jordan algebras2008

    • Author(s)
      Hideyuki Ishi
    • Organizer
      Hermitian Symmetric Spaces, Jordan Algebras and related problems
    • Place of Presentation
      Luminy(フランス)
    • Year and Date
      2008-06-23
    • Related Report
      2008 Annual Research Report
  • [Presentation] Critical modules of rings of differential operators of affine semigroup algebras2008

    • Author(s)
      Mutsumi Saito
    • Organizer
      AMS central sectional meeting, special session on D-modules
    • Place of Presentation
      Indiana Univ., USA
    • Year and Date
      2008-04-05
    • Related Report
      2009 Final Research Report
  • [Presentation] Critical modules of rings of differential operators of affine semigroup algebras2008

    • Author(s)
      Mutsumi Saito
    • Organizer
      AMS Spring Central Sectional Meeting, Special Session on D-modules
    • Place of Presentation
      Indiana大学(アメリカ)
    • Year and Date
      2008-04-05
    • Related Report
      2008 Annual Research Report
  • [Presentation] 半単純リー群の離散系列表現に付随する等方表現,II2008

    • Author(s)
      山下 博
    • Organizer
      日本数学会函数解析学分科会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-23
    • Related Report
      2007 Annual Research Report
  • [Presentation] ユニタリ最高ウェイト加群に付随する等方表現とハウ双対性定理の別証明2008

    • Author(s)
      山下 博
    • Organizer
      日本数学会函数解析学分科会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-23
    • Related Report
      2007 Annual Research Report
  • [Presentation] Symmetric pair and orbits on the flag variety2008

    • Author(s)
      Kyo Nishiyama
    • Organizer
      NCTS "Summer School on Lie Theory"
    • Place of Presentation
      国立成功大学(台湾)
    • Related Report
      2008 Annual Research Report
  • [Presentation] Geometric invariants associated with the discrete series representations2008

    • Author(s)
      Hiroshi Yamashita
    • Organizer
      NCTS 2008 Winter Workshop on Representation Theory
    • Place of Presentation
      National Center for Theoretical Sciences, Taiwan
    • Related Report
      2007 Annual Research Report
  • [Presentation] Isotropy representations and Howe duality correspondence2007

    • Author(s)
      Hiroshi Yamashita
    • Organizer
      Conference on Infinite-Dimensional Harmonic Analysis
    • Place of Presentation
      University of Tokyo
    • Year and Date
      2007-09-10
    • Related Report
      2007 Annual Research Report
  • [Presentation] Nilpotent orbits and associated cycles for unitary highest weight representations2007

    • Author(s)
      Hiroshi Yamashita
    • Organizer
      2007 Nankai Summer School, Representation Theory and Harmonic analysis,
    • Place of Presentation
      Chern Institute of Mathematics, Nankai University, China
    • Related Report
      2007 Annual Research Report
  • [Book] 簡約リー群の表現と冪零軌道2008

    • Author(s)
      山下博(述),阿部紀行(記)
    • Total Pages
      80
    • URL

      http://www.ms.u-tokyo.ac.jp/publication/lecturenote.html

    • Related Report
      2009 Final Research Report
  • [Book] 簡約リー群の表現と冪零軌道(阿部紀行)2008

    • Author(s)
      山下博
    • Total Pages
      80
    • Publisher
      東京大学数理科学レクチャーノート 3,東京大学
    • Related Report
      2008 Self-evaluation Report
  • [Book] 簡約リー群の表現と冪零軌道2008

    • Author(s)
      山下 博
    • Total Pages
      80
    • Publisher
      東京大学数理科学レクチャーノート3(Lecture Notes in Mathematical Sciences, The University of Tokyo, Vol.3)
    • Related Report
      2007 Annual Research Report
  • [Remarks] NORThern workshop on Representation Theory of Lie Groups and Lie Algebras

    • URL

      http://www.math.sci.hokudai.ac.jp/coe/sympo/070306/

    • Related Report
      2009 Final Research Report
  • [Remarks] Representation Theory, Systems of Differential Equations and their Related Topics

    • URL

      http://www.math.sci.hokudai.ac.jp/coe/sympo/070702/index.html

    • Related Report
      2009 Final Research Report
  • [Remarks] 第46回実関数論・函数解析学合同シンポジウム

    • URL

      http://mathsoc.jp/section/fctanalysis/2007.html

    • Related Report
      2009 Final Research Report
  • [Remarks] Sapporo Lectures on Representations in Lie Theory: An introduction and the beyond

    • URL

      http://www.math.sci.hokudai.ac.jp/coe/sympo/070827/index.html

    • Related Report
      2009 Final Research Report
  • [Remarks] 北海道大学数学公開講演会

    • URL

      http://www.math.sci.hokudai.ac.jp/coe/sympo/070828/index.html

    • Related Report
      2009 Final Research Report
  • [Remarks] 「表現論シンポジウム」講演集の電子化・公開

    • URL

      http://www.math.sci.hokudai.ac.jp/coe/sympo/psrt/

    • Related Report
      2009 Final Research Report
  • [Remarks] The 9th workshop on Nilpotent Orbits and Representation Theory

    • URL

      http://www.math.sci.hokudai.ac.jp/sympo/100219/index_en.html

    • Related Report
      2009 Final Research Report
  • [Remarks]

    • URL

      http://www.math.sci.hokudai.ac.jp/sympo/100219/index.html

    • Related Report
      2009 Annual Research Report
  • [Remarks] NORThern workshop on Representation Theory of Lie Groups and Lie Algebras

    • URL

      http://www.math.sci.hokudai.ac.jp/coe/sympo/070306/

    • Related Report
      2008 Self-evaluation Report
  • [Remarks] Representation Theory, Systems of Differential Equations and their Related Topics

    • URL

      http://www.math.sci.hokudai.ac.jp/coe/sympo/070702/index.html

    • Related Report
      2008 Self-evaluation Report
  • [Remarks] Sapporo Lectures on Representations in Lie Theory-An introduction and the beyond-

    • URL

      http://www.math.sci.hokudai.ac.jp/coe/sympo/070827/index.html

    • Related Report
      2008 Self-evaluation Report
  • [Remarks] 北海道大学数学公開講演会

    • URL

      http://www.math.sci.hokudai.ac.jp/coe/sympo/070828/index.html

    • Related Report
      2008 Self-evaluation Report
  • [Remarks] 「表現論シンポジウム」講演集の電子化・公開

    • URL

      http://www.math.sci.hokudai.ac.jp/coe/sympo/psrt/http://dml.ms.u-tokyo.ac.jp/PSRT/

    • Related Report
      2008 Self-evaluation Report
  • [Remarks] Representation Theory, Systems of Differential Equations and their Related Topics

    • URL

      http://coe.math.sci.hokudai.ac.jp/sympo/070702/

    • Related Report
      2007 Annual Research Report
  • [Remarks] Sapporo Lectures on Representations in Lie Theory

    • URL

      http://coe.math.sci.hokudai.ac.jp/sympo/070827/

    • Related Report
      2007 Annual Research Report

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

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