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TAGAWA Hiroyuki  田川 裕之

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… Alternative Names

田川 裕之  タガワ ヒロユキ

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Researcher Number 80283943
Other IDs
Affiliation (Current) 2025: 和歌山大学, 教育学部, 教授
Affiliation (based on the past Project Information) *help 2012 – 2020: 和歌山大学, 教育学部, 教授
2011: 和歌山大学, 教育学部, 准教授
2006: Wakayama University, Faculty of Education, Associate Professor, 教育学部, 准教授
1998 – 2005: 和歌山大学, 教育学部, 助教授
1997: 和歌山大学, 教育学部, 講師
Review Section/Research Field
Principal Investigator
Algebra / Algebra
Except Principal Investigator
Algebra / Algebra
Keywords
Principal Investigator
d-complete poset / hook length formula / hook length poset / Coxeter group / Aztec rectangle / 超幾何級数 / Bruhat order / Coxeter群 / Kazhdan-Lusztig多項式 / 組合せ論的表現論 … More / 表現論的組合せ論 / 代数的組合せ論 / フィボナッチ数 / hook formula / Aztec diamond / 行列 / Askey-Wilson 多項式 / 行列式 / leaf poset / hook length / (P, ω)-partition / d-coniplete poset / q-hook length formula / labeling / (P,R)-partition / Brahat order … More
Except Principal Investigator
Drinfeld-Sokolov reduction / W-algebra / character formula / admissible表現 / W代数 / 指標公式 / asymptotics / アフィン・スーパー・リー環 / Macdonald polynomials / d-complete posets / 母関数 / 平面分割の数え上げ / 行列式 / パフィアン / 超幾何級数 / タイリング問題 / 直交多項式 / 対称関数 / ダイマーモデル / 代数的組合せ論 / タイリング / 数理物理 / 表現論 / 数え上げ組合せ論 / free fields representation / determinant formula / Appell's function / superconformal algebra / affine Lie superalgebra / N=4スーパー・コンフォーマル代数 / Drinfeld-sokolov reduction / 頂点作用素代数 / アフィン・リー環 / twisted W代数 / 自由場表現 / 行列式公式 / Appell函数 / スーパー・コンフォーマル代数 / admissible representation / N=2 superconformal algebra / Appell's elliptic function / integrable representation / affine superalgebra / ソリトン方程式 / toroidalリー環 / fusion係数 / super-Boson-fermion対応 / criticalレベル / 楕円函数 / テータ函数 / modular変換 / 指標 / super conformal代数 / conformal-super代数 / BRST複体 / Drinfeld-Sokalov reduction / super-conformal代数 / N=2 super-conformal代数 / Appellの楕円函数 / integrable表現 Less
  • Research Projects

    (9 results)
  • Research Products

    (20 results)
  • Co-Researchers

    (9 People)
  •  Research on algebraic combinatorics related to matrices and hypergeometric series and surrounding topicsPrincipal Investigator

    • Principal Investigator
      Tagawa Hiroyuki
    • Project Period (FY)
      2016 – 2020
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Wakayama University
  •  Reserch on enumeration of alternating sign matrices, plane partitions and related determinants and Pfaffians

    • Principal Investigator
      Ishikawa Masao
    • Project Period (FY)
      2013 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      University of the Ryukyus
  •  Research on combinatorics with representation theory related to leaf posets and surrounding topicsPrincipal Investigator

    • Principal Investigator
      TAGAWA Hiroyuki
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Wakayama University
  •  A research on hook length posets from combinatorics and representation theoryPrincipal Investigator

    • Principal Investigator
      TAGAWA Hiroyuki
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      WAKAYAMA UNIVERSITY
  •  d-complete posetの組合せ論的及び表現論的研究Principal Investigator

    • Principal Investigator
      田川 裕之
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Algebra
    • Research Institution
      Wakayama University
  •  Representation Theory of Infinite-Dimensional Lie Superalgebras and W-algebras and Their Mathematical Applications

    • Principal Investigator
      WAKIMOTO Minoru
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      KYUSHU UNIVERSITY
  •  Kazhdan-Lusztig多項式の組合せ論的構造と対称関数との関連性解明Principal Investigator

    • Principal Investigator
      田川 裕之
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Wakayama University
  •  Representation theory of infinite-dimensional Lie algebras and superalgebras and its mathematical applications

    • Principal Investigator
      WAKIMOTO Minoru
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Algebra
    • Research Institution
      KYUSHU UNIVERSITY
  •  Kazhdan-Lusztig多項式の組合せ論的構造解明Principal Investigator

    • Principal Investigator
      田川 裕之
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Wakayama University

All 2021 2020 2019 2018 2016 2015 2014 2013 2012 2011 2006 2004 Other

All Journal Article Presentation

  • [Journal Article] On convolutions of extended Narayana polynomials2021

    • Author(s)
      田川裕之
    • Journal Title

      和歌山大学教育学部紀要. 自然科学

      Volume: 71 Pages: 135-141

    • DOI

      10.19002/AN00257977.71.135

    • NAID

      120006959990

    • ISSN
      13424645
    • URL

      https://wakayama-u.repo.nii.ac.jp/records/2003323

    • Year and Date
      2021-02-08
    • Language
      Japanese
    • Open Access
    • Data Source
      KAKENHI-PROJECT-16K05060
  • [Journal Article] On convolutions of extended Catalan numbers2020

    • Author(s)
      田川裕之
    • Journal Title

      和歌山大学教育学部紀要. 自然科学

      Volume: 70 Pages: 11-15

    • DOI

      10.19002/AN00257977.70.11

    • NAID

      120006811607

    • ISSN
      13424645
    • URL

      https://wakayama-u.repo.nii.ac.jp/records/2003310

    • Year and Date
      2020-02-04
    • Language
      Japanese
    • Open Access
    • Data Source
      KAKENHI-PROJECT-16K05060
  • [Journal Article] An investigation of Fibonacci numbers as a teaching material of mathematics education and an extension of the formula of the power sum of Fibonacci numbers2019

    • Author(s)
      北山秀隆, 松山ともこ, 西口正純, 西山尚志, 田川裕之, 田窪佳寿子
    • Journal Title

      和歌山大学教育学部紀要. 教育科学

      Volume: 69 Pages: 59-66

    • DOI

      10.19002/AN00257966.69.59

    • NAID

      120006560949

    • ISSN
      13425331
    • URL

      https://wakayama-u.repo.nii.ac.jp/records/2003059

    • Year and Date
      2019-02-08
    • Language
      Japanese
    • Open Access
    • Data Source
      KAKENHI-PROJECT-16K05060
  • [Journal Article] An Investigation and Extension of Tower of Hanoi as a Teaching Material of Mathematics Education2018

    • Author(s)
      北山秀隆, 南拓弥, 西山尚志, 田川裕之, 鷲山峻大, 山本紀代
    • Journal Title

      和歌山大学教育学部紀要. 教育科学

      Volume: 68 Issue: 1 Pages: 189-196

    • DOI

      10.19002/AN00257966.68(1).189

    • NAID

      120006415590

    • ISSN
      13425331
    • URL

      https://wakayama-u.repo.nii.ac.jp/records/2003013

    • Year and Date
      2018-01-31
    • Language
      Japanese
    • Open Access
    • Data Source
      KAKENHI-PROJECT-16K05060
  • [Journal Article] Domino tilings of Aztec rectangles with connected holes2016

    • Author(s)
      Masao Ishikawa, Fumihiko Nakano, Taizo Sadahiro, Hiroyuki Tagawa
    • Journal Title

      数理解析研究所講究録

      Volume: 印刷中

    • Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-23540017
  • [Journal Article] A quadratic formula for basic hypergeometric series related to Askey-Wilson polynomials2015

    • Author(s)
      Victor J.W.Guo, Masao Ishikawa, Hiroyuki Tagawa, Jiang Zeng
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 143 Issue: 5 Pages: 2003-2015

    • DOI

      10.1090/s0002-9939-2015-12099-0

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23540017, KAKENHI-PROJECT-25400018
  • [Journal Article] An extension of Wilson's Gram determinants2015

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

      数理解析研究所講究録

      Volume: 1945 Pages: 38-53

    • Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-23540017
  • [Journal Article] Leaf posets and multivariate hook length property2014

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

      数理解析研究所講究録

      Volume: 1913 Pages: 67-80

    • Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-23540017
  • [Journal Article] A generalization of the Mehta-Wang determinant and Askey-Wilson polynomials2013

    • Author(s)
      Victor J. W. Guo, Masao Ishikawa, Hiroyuki Tagawa, Jiang Zeng
    • Journal Title

      25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013), DMTCS proc. AS

      Pages: 749-760

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540017
  • [Journal Article] A generalization of the Mehta-Wang determinant and the Askey-Wilson polynomials2012

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

      数理解析研究所講究録

      Volume: 1795 Pages: 204-223

    • Data Source
      KAKENHI-PROJECT-23540017
  • [Journal Article] Generalizations of Cauchy's determinant and Schur's Pfaffian2006

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

      Advances in Applied Mathematics 36・3

      Pages: 251-287

    • Data Source
      KAKENHI-PROJECT-15540028
  • [Journal Article] Generalizations of Cauchy's determinant and Schur's Pfaffian2006

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

      Advances in Applied Mathematics 36

      Pages: 251-287

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540028
  • [Journal Article] A characterization of the simply-laced FC-finite Coxeter groups2004

    • Author(s)
      M.Hagiwara, M.Ishikawa, H.Tagawa
    • Journal Title

      Annals of Combinatorics 8

      Pages: 177-196

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540028
  • [Journal Article] A Characterization of the Simply-Laced FC-finite Coxeter Groups2004

    • Author(s)
      M.Hagiwara, M.Ishikawa, H.Tagawa
    • Journal Title

      Annals of Combinatorics 8

      Pages: 177-196

    • Data Source
      KAKENHI-PROJECT-15540028
  • [Presentation] d-complete poset と leaf poset2016

    • Author(s)
      田川裕之
    • Organizer
      2015年度表現論ワークショップ
    • Place of Presentation
      県民ふれあい会館(鳥取県鳥取市)
    • Year and Date
      2016-01-07
    • Data Source
      KAKENHI-PROJECT-23540017
  • [Presentation] A generalization of Mehta-Wang determinant and Askey-Wilson polynomials2013

    • Author(s)
      Victor J. W. Guo, Masao ISHIKAWA, Hiroyuki TAGAWA and Jiang ZENG
    • Organizer
      The 25th International Conference on Formal Power Series and Algebraic Combinatorics
    • Place of Presentation
      Universite Sorbonne Nouvelle - Paris 3, France
    • Data Source
      KAKENHI-PROJECT-25400018
  • [Presentation] A generalization of the Mehta-Wang determinant and the Askey-Wilson polynomials2011

    • Author(s)
      石川雅雄・田川 裕之
    • Organizer
      研究集会「組み合わせ論的表現論の拡がり」
    • Place of Presentation
      京都大学数理解析研究所
    • Data Source
      KAKENHI-PROJECT-23540017
  • [Presentation] Leaf posets and multivariate hook length property

    • Author(s)
      石川雅雄・田川裕之
    • Organizer
      RIMS合宿型セミナー「ヤング図形・統計物理に関連する代数的組合せ論」
    • Place of Presentation
      国際高等研究所
    • Data Source
      KAKENHI-PROJECT-23540017
  • [Presentation] An extension of Wilson’s Gram determinants

    • Author(s)
      石川雅雄, 田川裕之
    • Organizer
      RIMS研究集会「組合せ論的表現論の展望」
    • Place of Presentation
      京都大学数理解析研究所
    • Data Source
      KAKENHI-PROJECT-23540017
  • [Presentation] A generalization of the Mehta-Wang determinant and Askey-Wilson polynomials

    • Author(s)
      Victor J. W. Guo, Masao Ishikawa, Hiroyuki Tagawa, Jiang Zeng
    • Organizer
      25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013)
    • Place of Presentation
      Paris, France
    • Data Source
      KAKENHI-PROJECT-23540017
  • 1.  WAKIMOTO Minoru (00028218)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 2.  SATO Eiichi (10112278)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 3.  YAMADA Mieko (70130226)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 4.  KAGEI Yoshiyuki (80243913)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 5.  KANEKO Masanobu (70202017)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 6.  OCHIAI Hiroyuki (90214163)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 7.  Ishikawa Masao (40243373)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 1 results
  • 8.  OKADA Soichi (20224016)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 9.  鈴木 昌和 (20112302)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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