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2011 Fiscal Year Final Research Report

From modular representations of the symmetric groups to nonlinear differential equations

Research Project

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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
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
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.

  • Research Products

    (8 results)

All 2011 2009 Other

All Journal Article (3 results) (of which Peer Reviewed: 2 results) Presentation (4 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

    • Peer Reviewed
  • [Journal Article] Brauer-Schur functions and compound bases2009

    • Author(s)
      山田裕史
    • Journal Title

      RIMS

      Volume: 1656 Pages: 1-8

  • [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)

    • 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
  • [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
  • [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
  • [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
  • [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

URL: 

Published: 2013-07-31  

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