TAGAWA Hiroyuki 田川裕之

… 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 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

TAGAWA Hiroyuki 田川 裕之

田川 裕之 タガワ ヒロユキ

Research Projects

Research Products

Co-Researchers

Research on algebraic combinatorics related to matrices and hypergeometric series and surrounding topicsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Reserch on enumeration of alternating sign matrices, plane partitions and related determinants and Pfaffians

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research on combinatorics with representation theory related to leaf posets and surrounding topicsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

A research on hook length posets from combinatorics and representation theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

d-complete posetの組合せ論的及び表現論的研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Representation Theory of Infinite-Dimensional Lie Superalgebras and W-algebras and Their Mathematical Applications

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Project Period (FY)

Research Category

Research Field

Research Institution

Representation theory of infinite-dimensional Lie algebras and superalgebras and its mathematical applications

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Kazhdan-Lusztig多項式の組合せ論的構造解明Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] On convolutions of extended Narayana polynomials2021

Author(s)

Journal Title

DOI

NAID

ISSN

URL

Year and Date

Language

Data Source

[Journal Article] On convolutions of extended Catalan numbers2020

Author(s)

Journal Title

DOI

NAID

ISSN

URL

Year and Date

Language

Data Source

[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

TAGAWA Hiroyuki 田川裕之

田川裕之タガワヒロユキ