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From modular representations of the symmetric groups to nonlinear differential equations

Research Project

Project/Area Number 21540016
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Algebra
Research InstitutionOkayama University

Principal Investigator

YAMADA Hirofumi  岡山大学, 大学院・自然科学研究科, 教授 (40192794)

Co-Investigator(Renkei-kenkyūsha) YOSHINO Yuji  岡山大学, 大学院・自然科学研究科, 教授 (00135302)
NAKAMURA Hiroaki  岡山大学, 大学院・自然科学研究科, 教授 (60217883)
SUZUKI Takeshi  岡山大学, 大学院・自然科学研究科, 准教授 (30335294)
Project Period (FY) 2009 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywordsシューア函数 / アフィンィー環 / 岩堀・ヘッケ環 / カルタン行列 / アフィンリー環 / 対称群 / ヘッケ環 / ヤング図形
Research Abstract

The importance of the "Brauer-Schur functions", which had been introduced by myself, is now being recognized in the area of KP hierarchy, its reductions and representations of affine Lie algebras. I published a short note entitled "A note on Brauer-Schur functions", which is contained in the proceedings of the international conference on Mathematical physics held in Tianjin, China.

Report

(4 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (13 results)

All 2011 2009 Other

All Journal Article (5 results) (of which Peer Reviewed: 3 results) Presentation (7 results) Book (1 results)

  • [Journal Article] A note on Brauer-Schur functions, Proceedings of International Workshop on Quantized Algebra and Physics2011

    • Author(s)
      青影一也, 水川裕司, 山田裕史
    • Journal Title

      World Scientific

      Pages: 1-9

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] A note on Brauer-Schur functions2011

    • Author(s)
      K.Aokage, H.Mizukawa, H.-F.Yamada
    • Journal Title

      Proc."International Workshop on Quantized Algebra and Physics

      Pages: 1-9

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Brauer-Schur functions and compound bases2009

    • Author(s)
      山田裕史
    • Journal Title

      RIMS

      Volume: 1656 Pages: 1-8

    • Related Report
      2011 Final Research Report
  • [Journal Article] Brauer-Schur functions and compound bases2009

    • Author(s)
      山田裕史
    • Journal Title

      数理解析研究所 講究録 1656

      Pages: 1-14

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Combinatorics for graded Cartan matrices of the Iwahori-Hecke algebra of type A

    • Author(s)
      安東雅訓, 鈴木武史, 山田裕史
    • Journal Title

      Ann. Comb.

      Volume: (to appear)

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Presentation] 対称群のカルタン行列にまつわる組合せ論2011

    • Author(s)
      山田裕史
    • Organizer
      日本数学会代数学シンポジウム
    • Place of Presentation
      岡山大学
    • Year and Date
      2011-08-08
    • Related Report
      2011 Final Research Report
  • [Presentation] 対称群のカルタン行列にまつわる組合せ論2011

    • Author(s)
      山田裕史
    • Organizer
      日本数学会代数学シンポジウム
    • Place of Presentation
      岡山大学(招待講演)
    • Year and Date
      2011-08-08
    • Related Report
      2011 Annual Research Report
  • [Presentation] 対称群のカルタン行列にまつわる組合せ論2011

    • Author(s)
      山田裕史
    • Organizer
      代数群研究会
    • Place of Presentation
      稚内北星学園大学
    • Year and Date
      2011-02-20
    • Related Report
      2011 Final Research Report
  • [Presentation] 対称群のカルタン行列2011

    • Author(s)
      山田裕史
    • Organizer
      日本数学会中国四国支部会
    • Place of Presentation
      鳴門教育大学
    • Year and Date
      2011-01-30
    • Related Report
      2011 Final Research Report
  • [Presentation] 対称群のカルタン行列にまつわる組合せ論2011

    • Author(s)
      山田裕史
    • Organizer
      日本数学会 中国四国支部会
    • Place of Presentation
      鳴門教育大学
    • Year and Date
      2011-01-30
    • Related Report
      2010 Annual Research Report
  • [Presentation] Compound basis and affine Lie algebras2009

    • Author(s)
      H. F. Yamada
    • Organizer
      Interational Conference on Quantized Algebra and Physics
    • Place of Presentation
      南開大学,天津,中国
    • Year and Date
      2009-07-26
    • Related Report
      2011 Final Research Report
  • [Presentation] Compond bases arising from the basic representation of A(1,1)2009

    • Author(s)
      山田裕史
    • Organizer
      International Conference on "Quantum Algebras and Physics"
    • Place of Presentation
      南開大学(中国)
    • Year and Date
      2009-07-26
    • Related Report
      2009 Annual Research Report
  • [Book] 組合せ論プロムナード2009

    • Author(s)
      山田裕史
    • Total Pages
      160
    • Publisher
      日本評論社
    • Related Report
      2011 Final Research Report 2009 Annual Research Report

URL: 

Published: 2009-04-01   Modified: 2016-04-21  

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