Takegahara Yugen 竹ケ原裕元

… Alternative Names

TAKEGAHARA Yugen 竹ケ原裕元

竹ヶ原裕元タケガハラユウゲン

竹ケ原裕元タケカ゛ハラユウゲン

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Researcher Number	10211351
Other IDs
External Links
Affiliation (based on the past Project Information) *help	2018 – 2024: 室蘭工業大学, 大学院工学研究科, 教授 2016 – 2017: 室蘭工業大学, 工学研究科, 教授 2012 – 2013: 室蘭工業大学, 工学(系)研究科(研究院), 教授 2010 – 2011: 室蘭工業大学, 大学院・工学研究科, 教授 2001 – 2007: 室蘭工業大学, 工学部, 教授 1997 – 2002: 室蘭工業大学, 工学部, 助教授 1994 – 1995: 室蘭工業大学, 工学部, 助教授
Review Section/Research Field	Principal Investigator Algebra / Basic Section 11010:Algebra-related / Algebra Except Principal Investigator Algebra / Algebra
Keywords	Principal Investigator 有限群 / 対称群 / バーンサイド環 / 交代群 / 準同型 / テンソル誘導写像 / 単数群 / 置換表現 / p進解析関数 / 母関数 … More / 指数型母関数 / p進的性質 / 束 / 束バーンサイド環 / べき等元 / モノイド / 抽象バーンサイド環 / テンソル誘導 / 乗法的誘導写像 / 斜バーンサイド環 / べき零群 / finite group / p-adic property / 自由積 / 有限アーベル群 / 環積 / 抽象バーサイド環 / 有限群の表現 / 素イデアル・スペクトル / 可解群 / 原始べき等元 / 量子２重構成 / 置換指標 / 指標環 / Hyperoctahedral群 / オブストラクション環 / F-バーンサイド環 / 単項バーンサイド環 / 線形指標 / ゴースト環 / Mバーンサイド環 / 乗法的誘導 / 単項バーサイド環 / Burnside ring / free product / finite abelian group / nilpotent group / exponential generating function / profinite group / finitely generated group / 移送写像 / 置換群 / べき零クラス / 対象群 / Artin's induction theorem / Dress's induction theorem / G集合 / 副有限群 / 有限生成群 / irreducible character / Weyl group / complex reflection group / symmetric group / exponential generation function / homomorphism / Frobenius予想 / Frobeniusの定理 / 既約指標 / ワイル群 / 複素鏡映群 / generating function / permutation representation / abelian group / exceptional p-group / complement / semi-direct product / finite p-group / p-群 / exceptional群 / 斜準同型 / アーベル群 / 例外型のp群 / 補群 / 半直積 / 有限p群 / インボリューション / 巡回群 / p進整数 / 有限アーベルp群 / ｐ進的性質 … More Except Principal Investigator Maass zeta function / Standard zeta function / Eisenstein series / スタンダードゼータ関数 / Squared Moebius function / 局所密度 / Ikeda lift / Block-Kato予想 / Doi-Hida-Ishii予想 / ケッヒャー・マース級数 / Saito-Kurokawa lift / 保型形式の合同 / Ikeda lifting / 特殊値 / 平方メビウス関数 / マースゼータ関数 / アイゼンシュタイン級数 / マ-スゼータ関数 / Ikeda' conjecture / Harder's conjeture / Bloch-Kato conjecture / Rankin-elberg zeta function / Fourier-Jacobi coefficient / Congruenc of Siegel modular forms / スタンダードL関数の中心点でのnon-vanishing / スタンダードL関数の中心でのnon-vanishing_ / Bloch-Kato予想 / Ikeda予想 / Rankin-Selberg zeta関数 / スタンダードL関数の中心点でのnon-vanishing_ / フーリエーヤコビ係数 / Block-Kato conjecture / Doi-Hida-Ishi conjecture / Basis Problem / Congruence of modular forms / Special values / Koecher-Maass series / テータ級数 / ジーゲル保型形式 / アイゼンシュタイン級数の引き戻し公式 / スタンダードL関数 / 基底問題 / Ikeda-Miyawaki lift / Ikeda-Miyawaki life / pull-back formula / special values / standard zeta function / Modular representation / Exponential formula / Burnside ring / Mackev functor / Topos / Cohomol of groups / The number of group homomorphisms / 丹原関手 / プレシズム / 母関数 / 有限群のモジュラー表現 / 符号の重み多項式 / 有限群の準同形写像 / 有限群のモジュラ表現 / 指数関数型恒等式 / Burnside環 / Mackey関手 / トポス / 群のコホモロジー / 有限群の準同形写像の個数 / クリンゲン・アイゼンシユタイン級数 / 斎藤・黒川リフテイング / ケツヒヤー.マースゼータ関数 / トリプルL関数 / オイラー積 / スタンダートゼータ関数 / 池田リフテイング / Local density / Fourier coefficients / Siegel series / アイゼンシユタイン級数 / フーリエ係数 / ジーゲル級数 / Siegel-Eisenstein series / Local densities / ジーゲル-アイゼンシュタイン級数 / マ-スゼータ関数 / ジーゲルアイゼンシュタイン級数 / ジーゲルアイゼンシュタイン級数 Less

Research on generalization of Burnside algebras and their multiplicative propertiesPrincipal Investigator
- Principal Investigator
  
  Takegahara Yugen
- Project Period (FY)
  2022 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Muroran Institute of Technology
Comprehensive study on generalizations of Burnside algebras of finite groupsPrincipal Investigator
- Principal Investigator
  
  Takegahara Yugen
- Project Period (FY)
  2019 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Muroran Institute of Technology
Research on the structure of generalized Burnside rings and its applicationPrincipal Investigator
- Principal Investigator
  
  Takegahara Yugen
- Project Period (FY)
  2016 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Muroran Institute of Technology
Research on p-adic properties of the numbers of permutation representationsPrincipal Investigator
- Principal Investigator
  
  TAKEGAHARA Yugen
- Project Period (FY)
  2010 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Muroran Institute of Technology
Research on properties of generating functions for permutation representations and their applications.Principal Investigator
- Principal Investigator
  
  TAKEGAHARA Yugen
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Muroran Institute of Technology
Research on special values on L-functions of automorphic forms
- Principal Investigator
  
  KATSURADA Hidenori
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Muroran Institute of Technology
Research on properties of generating functions of the number of special permutation representations and their applications.Principal Investigator
- Principal Investigator
  
  TAKEGAHARA Yugen
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  MURORAN INSTITUTE OF TECHNOLOGY
Research on special values of the standard L-functions of Siegel modular forms and related fields
- Principal Investigator
  
  KATSURADA Hidenori
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Muroran Institute of Technology
Study of generating functions viewed from group theory and category theory
- Principal Investigator
  
  YOSHIDA Tomoyuki, 吉田知行
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  HOKKAIDO UNIVERSITY
Investigation of Koecher-Maass series for various liftings of Siegel modular forms
- Principal Investigator
  
  KATSURADA Hidenori
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Muroran Institute of Technology
Research on generating functions of the number of group homomorphisms and subgroup lattices of groupsPrincipal Investigator
- Principal Investigator
  
  TAKEGAHARA Yugen
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  MURORAN INSTITUTE OF TECHNOLOGY
Investigation of Dirichlet series for Siegel modular forms
- Principal Investigator
  
  KATSURADA Hidenori
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Muroran Institut of Technology
Investigation of Eisenstein series on bounded symmeric domain
- Principal Investigator
  
  KATSURADA Hidenori
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Muroran Institut of Technology
Local densities of quadratic forms and related problems
- Principal Investigator
  
  KATSURADA Hidenori
- Project Period (FY)
  1994 – 1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Muroran Institute of Technology

[Book] Character theoretical aspects of nilpotency class
- Author(s)
  Y. Takegahara and T. Yoshida
- Publisher
  Comm. Algebra (To appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540003
[Journal Article] 2-Adic properties of the numbers of representations in wreath products2023
- Author(s)
  Yugen Takegahara
- Journal Title
  
  Acta Mathematica Hungaria
  
  Volume: 169 Issue: 1 Pages: 15-56
- DOI
  10.1007/s10474-023-01300-2
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03436
[Journal Article] On a generalization of Hall's theorem2023
- Author(s)
  T. Asai, N. Chigira, T. Niwasaki, and Y. Takegahara
- Journal Title
  
  Adv. Group Theory Appl.
  
  Volume: 17 Pages: 99-128
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-22K03242
[Journal Article] Tensor induction for M-Burnside rings2023
- Author(s)
  Yugen Takegahara
- Journal Title
  
  Journal of Algebra
  
  Volume: 622 Pages: 134-164
- DOI
  10.1016/j.jalgebra.2023.01.015
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03436
[Journal Article] 2-adic properties of the numbers of representations in alternatiing groups2021
- Author(s)
  Y. Takegahara
- Journal Title
  
  Monatshefte fur Mathematik
  
  Volume: 194 Issue: 2 Pages: 339-370
- DOI
  10.1007/s00605-020-01478-5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03436
[Journal Article] A formula of subgroup normality degrees with applications to the finite p-groups with cyclic subgroups of index p^22020
- Author(s)
  Mohammad Farrokhi D. G. and Y. Takegahara
- Journal Title
  
  J. Algebra Appl.
  
  Volume: 19 Issue: 04 Pages: 2050073-2050073
- DOI
  10.1142/s0219498820500735
- Data Source
  KAKENHI-PROJECT-19K03436
[Journal Article] Lattice Burnside rings2020
- Author(s)
  F. Oda, Y. Takegahara, and T. Yoshida
- Journal Title
  
  Algebra universalis
  
  Volume: 81 Issue: 4
- DOI
  10.1007/s00012-020-00687-1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03436, KAKENHI-PROJECT-19K03457
[Journal Article] Multiplicative induction and units for the ring of monomial representations2019
- Author(s)
  Yugen Takegahara
- Journal Title
  
  Advances in Mathematics
  
  Volume: 355 Pages: 106768-106768
- DOI
  10.1016/j.aim.2019.106768
- NAID
  120006765169
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03436
[Journal Article] p-adic estimates of the number of permutation representations2019
- Author(s)
  Yugen Takegahara
- Journal Title
  
  Advances in Mathematics
  
  Volume: 349 Pages: 367-425
- DOI
  10.1016/j.aim.2019.04.008
- NAID
  120006711440
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05052
[Journal Article] The number of subgroups of a finite group (II)2019
- Author(s)
  Yugen Takegahara
- Journal Title
  
  Communications in Algebra
  
  Volume: 47 Issue: 5 Pages: 1964-1972
- DOI
  10.1080/00927872.2018.1527918
- NAID
  120006648056
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05052
[Journal Article] Axiomatic theory of Burnside rings. (I)2018
- Author(s)
  T. Yoshida, F. Oda, and Y. Takegahara
- Journal Title
  
  Journal Algebra
  
  Volume: 505 Pages: 339-382
- DOI
  10.1016/j.jalgebra.2018.03.012
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05052
[Journal Article] Lefschetz invariants and Young characters for representations of the hyperoctahedral groups2018
- Author(s)
  F. Oda, Y. Takegahara, and T. Yoshida
- Journal Title
  
  Journal Algebra
  
  Volume: 512 Pages: 1-19
- DOI
  10.1016/j.jalgebra.2018.07.001
- NAID
  120006529948
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05052
[Journal Article] Induction formulae for Mackey functors with applications to representations of the twisted quantum double of a finite group2014
- Author(s)
  Y. Takegahara
- Journal Title
  
  J. Algebra
  
  Volume: 410 Pages: 85-147
- DOI
  10.1016/j.jalgebra.2014.03.017
- NAID
  120005754530
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540004
[Journal Article] On a theorem of P. Hall2013
- Author(s)
  T. Asai, N. Chigira, T. Niwasaki, and Y. Takegahara
- Journal Title
  
  J. Group Theory
  
  Volume: 16 Pages: 69-80
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540004
[Journal Article] Generalizations of Burnside ring and their applications2011
- Author(s)
  竹ヶ原裕元
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1756 Pages: 41-50
- Data Source
  KAKENHI-PROJECT-22540004
[Journal Article] Multiple Burnside rings and Brauer induction formulae2010
- Author(s)
  Y. Takegahara
- Journal Title
  
  J. Algebra
  
  Volume: 324 Issue: 7 Pages: 1656-1686
- DOI
  10.1016/j.jalgebra.2010.05.021
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540004
[Journal Article] Multiple Burnside ring and Brauer induction formulae2010
- Author(s)
  Yugen Takegahara
- Journal Title
  
  J.Algebra
  
  Volume: 32 Pages: 1656-1686
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540004
[Journal Article] Nilpotent groups and character tables2007
- Author(s)
  竹ケ原裕元
- Journal Title
  
  数理解析研究所考究録 1564
  
  Pages: 17-22
- NAID
  110006313706
- Data Source
  KAKENHI-PROJECT-17540002
[Journal Article] On Wohlfahrt series and wreath products2007
- Author(s)
  Y. Takegahara
- Journal Title
  
  Adv. Math. 209
  
  Pages: 526-546
- NAID
  120000801978
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540003
[Journal Article] Nilpotent groups and character tables2007
- Author(s)
  Y. Takegahara
- Journal Title
  
  RIMS Kokyoroku 1564
  
  Pages: 17-22
- NAID
  110006313706
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540002
[Journal Article] Nilpotent groups and character tables2007
- Author(s)
  竹ヶ原裕元
- Journal Title
  
  数理解析研究所考究録 1564
  
  Pages: 17-22
- NAID
  110006313706
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540003
[Journal Article] On Wohlfahrt series and wreath products2007
- Author(s)
  Y.Takegahara
- Journal Title
  
  Adv. Math. 209
  
  Pages: 526-546
- NAID
  120000801978
- Data Source
  KAKENHI-PROJECT-17540002
[Journal Article] On Wohlfahrt series and wreath products2007
- Author(s)
  Y. Takegahara
- Journal Title
  
  Adv. Math. 209
  
  Pages: 526-546
- NAID
  120000801978
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540002
[Journal Article] Nilpotent groups and character tables2007
- Author(s)
  竹ヶ原裕元
- Journal Title
  
  数理解析研究所考究録 1564
  
  Pages: 17-22
- NAID
  110006313706
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540002
[Journal Article] On Wohlfahrt series and wreath products2007
- Author(s)
  Y. Takegahara
- Journal Title
  
  Adv. Math 209
  
  Pages: 526-546
- NAID
  120000801978
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540003
[Journal Article] Nilpotent group and character table2007
- Author(s)
  Y. Takegahara
- Journal Title
  
  Proc. RIMS 1564
  
  Pages: 17-22
- NAID
  110006313706
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540003
[Journal Article] On Wohlfahrt series and wreath products,2007
- Author(s)
  Y.Takegahara
- Journal Title
  
  Adv. Math. (2007), 526-546. 209
  
  Pages: 526-546
- NAID
  120000801978
- Data Source
  KAKENHI-PROJECT-17540003
[Journal Article] Hall's relations infinite groups2004
- Author(s)
  Y.Takegahara
- Journal Title
  
  J.Algebra 271
  
  Pages: 312-326
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540003
[Journal Article] On P. Hall's relations in finite groups, II2004
- Author(s)
  竹ヶ原裕元
- Journal Title
  
  数理解析研究所講究録 1407
  
  Pages: 63-70
- Data Source
  KAKENHI-PROJECT-15540002
[Journal Article] Hall's relations in finite groups2004
- Author(s)
  Y.Takegahara
- Journal Title
  
  J.Algebra 271
  
  Pages: 312-326
- NAID
  120006630166
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540003
[Journal Article] On P.Hall's relations in finite groups, II2004
- Author(s)
  Y.Takegahara
- Journal Title
  
  RIMS Kokyuroku 1407
  
  Pages: 63-70
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540003
[Journal Article] On P. Hall's relations in finite groups, II2004
- Author(s)
  竹ヶ原裕元
- Journal Title
  
  数理解析研究所講究録 1407
  
  Pages: 63-70
- Data Source
  KAKENHI-PROJECT-15540003
[Journal Article] On P.Hall's relations in finite groups, II2004
- Author(s)
  Y.Takegahara
- Journal Title
  
  RIMS Kokyuroku 1407
  
  Pages: 63-70
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540002
[Journal Article] On P.Hall's relations in finite groups, II2004
- Author(s)
  竹ヶ原裕元
- Journal Title
  
  数理解析研究所講究録 1407
  
  Pages: 63-70
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540002
[Journal Article] Crossed homomorphisms and the Schur-Zassenhaus theorem2004
- Author(s)
  T.Asai, Y.Takegahara, N.Chigira, T.Niwasaki
- Journal Title
  
  RIMS Kokyuroku
  
  Pages: 23-31
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540003
[Journal Article] Hall's relations in finite groups.2004
- Author(s)
  TAKEGAHARA, Yugen
- Journal Title
  
  Journal of Algebra 371
  
  Pages: 312-326
- NAID
  120006630166
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13440001
[Journal Article] Generating functions for permutation representations2004
- Author(s)
  Y.Takegahara
- Journal Title
  
  J.Algebra 281
  
  Pages: 68-82
- NAID
  120006630167
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540003
[Journal Article] Generating functions for permutation representations2004
- Author(s)
  Y.Takegahara
- Journal Title
  
  J.Algebra 281
  
  Pages: 68-82
- NAID
  120006630167
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540002
[Journal Article] Crossed homomorphisms from rank-2 abelian to exceptional p-groups2003
- Author(s)
  T.Asai, T.Niwasaki, Y.Takegahara
- Journal Title
  
  J.Algebra 281
  
  Pages: 212-237
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540003
[Presentation] バーンサイド環の一般化について2025
- Author(s)
  竹ヶ原　裕元
- Organizer
  ２０２５年日本数学会年会
- Invited
- Data Source
  KAKENHI-PROJECT-19K03436
[Presentation] バーンサイド環の単数群について2024
- Author(s)
  竹ヶ原　裕元
- Organizer
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-22K03242
[Presentation] 斜バーンサイド環とコホモロジカルマッキー 2 モチーフ2022
- Author(s)
  小田文仁、竹ヶ原裕元
- Organizer
  日本数学会２０２２年度日本数学会年会
- Data Source
  KAKENHI-PROJECT-19K03436
[Presentation] 有限アーベル p 群から環積への置換表現の個数に関する p 進的性質について2021
- Author(s)
  竹ヶ原裕元
- Organizer
  日本数学会２０２１年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19K03436
[Presentation] 斜バーンサイド環とマッキー2 関手2020
- Author(s)
  小田文仁, 竹ヶ原裕元
- Organizer
  ２０２０年日本数学会年会
- Data Source
  KAKENHI-PROJECT-19K03436
[Presentation] 束バーンサイド環2020
- Author(s)
  小田文仁、竹ヶ原裕元
- Organizer
  ２０２０年日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19K03436
[Presentation] モノミアル・バーンサイド環の乗法的性質について2019
- Author(s)
  竹ヶ原裕元
- Organizer
  有限群のコホモロジー論とその周辺, 京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-16K05052
[Presentation] 有限アーベル p 群の置換表現の個数に関する p 進的性質について2019
- Author(s)
  竹ヶ原裕元
- Organizer
  日本数学会２０１９年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19K03436
[Presentation] p-adic properties of the number of permutation representations2019
- Author(s)
  竹ヶ原裕元
- Organizer
  代数的組合せ論と関連する群と代数の研究, 京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-19K03436
[Presentation] モノミアル・バーンサイド環の積構造について2019
- Author(s)
  竹ヶ原裕元
- Organizer
  有限群のコホモロジー論とその周辺　RIMS 共同研究（公開型）
- Data Source
  KAKENHI-PROJECT-16K05052
[Presentation] Axiomatic theory of Burnside rings I2018
- Author(s)
  小田文仁, 竹ヶ原裕元, 吉田知行
- Organizer
  ２０１８年日本数学会年会, 東京大学
- Data Source
  KAKENHI-PROJECT-16K05052
[Presentation] Lefschetz invariants and Young characters for representations of the Coxeter groups of type B2017
- Author(s)
  小田文仁, 竹ヶ原裕元, 吉田知行
- Organizer
  日本数学会２０１７年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-16K05052
[Presentation] 2-adic properties of the number of solutions of x^m=1 in the alternating group A_n2014
- Author(s)
  竹ヶ原裕元
- Organizer
  有限群とその表現,頂点作用素代数, 代数的組合わせ論の研究
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-22540004
[Presentation] The crossed and monomial Burnside rings2013
- Author(s)
  竹ヶ原裕元
- Organizer
  第58回代数学シンポジウム
- Place of Presentation
  広島大学
- Data Source
  KAKENHI-PROJECT-22540004
[Presentation] バーンサイド環の一般化とその応用有限群とその表現2012
- Author(s)
  竹ヶ原裕元
- Organizer
  頂点作用素代数, 組合せ論の研究
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-22540004
[Presentation] バーンサイド環の一般化とその応用2012
- Author(s)
  竹ヶ原裕元
- Organizer
  有限群とその表現, 頂点作用素代数,組合せ論の研究
- Place of Presentation
  京都大学数理解析研究所(招待講演)
- Year and Date
  2012-03-05
- Data Source
  KAKENHI-PROJECT-22540004
[Presentation] Generalizations of Burnside ring and their applications2010
- Author(s)
  Yugen Takegahara
- Organizer
  Vertex Operator Algebras, Finite Groups and Combinatorics
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2010-12-14
- Data Source
  KAKENHI-PROJECT-22540004
[Presentation] Generalizations of Burnside ring and their applications2010
- Author(s)
  竹ヶ原裕元
- Organizer
  頂点作用素代数・有限群・組合せ論の研究
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-22540004
[Presentation] Nilpotent groups and character tables2006
- Author(s)
  Y. Takegahara
- Organizer
  Group Theory and Related Topics
- Year and Date
  2006-12-18
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540002
[Presentation] べき零群と指標表2006
- Author(s)
  竹ヶ原裕元
- Organizer
  RIMS研究集会、群論とその周辺
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2006-12-18
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540002
[Presentation] 2-adic properties for the number of solutions of x^m=1 in the alternating group A_n
- Author(s)
  竹ヶ原　裕元
- Organizer
  RIMS研究集会　有限群とその表現、頂点作用素代数、代数的組合わせ論の研究
- Place of Presentation
  京都大学数理科学研究所（京都府京都市）
- Invited
- Data Source
  KAKENHI-PROJECT-22540004

1. KATSURADA Hidenori (80133792)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
2. CHIGIRA Naoki (40292073)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
3. SATO Motohiko (30254139)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. HASEGAWA Yuji (30287982)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
5. YAMAZAKI Noriaki (90333658)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. YOSHIDA Tomoyuki (30002265)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. 吉田知行 (30002695)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. YAMASHITA Hiroshi (30192793)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. MATSUSHITA Daisuke (90333591)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. YAMADA Hirohumi (40192794)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. YAMAKI Hiroyoshi (60028199)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. KOHSAKA Yoshihito (00360967)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Takegahara Yugen 竹ケ原 裕元

TAKEGAHARA Yugen 竹ケ原 裕元

竹ヶ原 裕元 タケガハラ ユウゲン

竹ケ原 裕元 タケカ゛ハラ ユウゲン

Research Projects

Research Products

Co-Researchers

Research on generalization of Burnside algebras and their multiplicative propertiesPrincipal Investigator

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Comprehensive study on generalizations of Burnside algebras of finite groupsPrincipal Investigator

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Research on the structure of generalized Burnside rings and its applicationPrincipal Investigator

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Research on p-adic properties of the numbers of permutation representationsPrincipal Investigator

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Research on properties of generating functions for permutation representations and their applications.Principal Investigator

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Research on special values on L-functions of automorphic forms

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Research on properties of generating functions of the number of special permutation representations and their applications.Principal Investigator

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Research on special values of the standard L-functions of Siegel modular forms and related fields

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Study of generating functions viewed from group theory and category theory

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Investigation of Koecher-Maass series for various liftings of Siegel modular forms

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Research on generating functions of the number of group homomorphisms and subgroup lattices of groupsPrincipal Investigator

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Investigation of Dirichlet series for Siegel modular forms

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Investigation of Eisenstein series on bounded symmeric domain

Takegahara Yugen 竹ケ原裕元

TAKEGAHARA Yugen 竹ケ原裕元

竹ヶ原裕元タケガハラユウゲン

竹ケ原裕元タケカ゛ハラユウゲン