Ishii Motohiro 石井基裕

Researcher Number	00732463
Other IDs
Affiliation (Current)	2025: 群馬大学, 共同教育学部, 准教授 2025: 群馬大学, 教育学部, 准教授
Affiliation (based on the past Project Information) *help	2025: 群馬大学, 共同教育学部, 准教授 2020 – 2023: 群馬大学, 共同教育学部, 准教授 2018 – 2019: 群馬大学, 教育学部, 准教授 2016 – 2017: 群馬大学, 教育学部, 講師 2015: 東京電機大学, 情報環境学部, 助教 2014: 東北大学, 情報科学研究科, 博士研究員
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related / Algebra
Keywords	Principal Investigator 結晶基底 / 端ウェイト加群 / レベル・ゼロ表現 / アフィン建物 / レベルゼロ表現 / 量子ブリュアグラフ / 半無限ブリュア半順序 / アフィンワイル群 / アフィン量子群 / 半無限旗多様体 … More / アフィンWeyl群 / ワイル群 / 量子展開環 / 幾何学的佐武対応 / アフィン・リー環 / 柏原中島盤 / ボット・サムエルソン多様体 / 量子群 / MV輪体・MV多面体 / LSギャラリー / MV輪体 / アフィンGrassmann多様体 / レベル0基本表現 / Young盤 / Bott-Samelson多様体 / 半無限Bruhat半順序 / 半無限ヤング盤 / アフィン・ワイル群 / レベル・ゼロ表現論 / 半無限LSパス / アフィンLie環 / 二重アフィンWeyl群 / 半無限Bruhatグラフ / 量子アフィン展開環 Less

量子展開環の端ウェイト加群の組合せ論的研究Principal Investigator
- Principal Investigator
  
  石井基裕
- Project Period (FY)
  2025 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Gunma University
アフィン量子群のレベル・ゼロ表現論と幾何学的佐武対応Principal Investigator
- Principal Investigator
  
  石井基裕
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Gunma University
Geometric and combinatorial study of level-zero representation theory of quantum affine algebrasPrincipal Investigator
- Principal Investigator
  
  Ishii Motohiro
- Project Period (FY)
  2016 – 2020
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Gunma University
Geometry of semi-infinite flag varieties and level-zero representation theory of quantum affine algebrasPrincipal Investigator
- Principal Investigator
  
  Ishii Motohiro
- Project Period (FY)
  2014 – 2015
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Research Field
  
  Algebra
- Research Institution
  Tokyo Denki University
  Tohoku University

All 2022 2020 2019 2018 2017 2016 2015 2014

All Journal Article Presentation

[Journal Article] Tableau models for semi-infinite Bruhat order and level-zero representations of quantum affine algebras2022
- Author(s)
  Ishii Motohiro
- Journal Title
  
  Algebraic Combinatorics
  
  Volume: 5 Issue: 5 Pages: 1089-1164
- DOI
  10.5802/alco.242
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K14278
[Journal Article] Semi-infinite Young tableaux and standard monomial theory for semi-infinite Lakshmibai-Seshadri paths2020
- Author(s)
  Ishii Motohiro
- Journal Title
  
  Algebraic Combinatorics
  
  Volume: 3 Issue: 5 Pages: 1141-1163
- DOI
  10.5802/alco.130
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K17577
[Journal Article] 半無限ヤング盤がつくる柏原結晶とその応用2020
- Author(s)
  石井基裕
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 2161 Pages: 46-57
- Data Source
  KAKENHI-PROJECT-16K17577
[Journal Article] 一般の extremal weight module のパス模型の構成に向けて2020
- Author(s)
  石井基裕
- Journal Title
  
  第31回有限群論草津セミナー報告集
  
  Volume: - Pages: 69-78
- Data Source
  KAKENHI-PROJECT-16K17577
[Journal Article] Bott-Samelson多様体と量子ループ代数の組合せ論的表現論2019
- Author(s)
  石井基裕
- Journal Title
  
  第30回有限群論草津セミナー報告集
  
  Volume: - Pages: 43-49
- Data Source
  KAKENHI-PROJECT-16K17577
[Journal Article] 量子ループ代数の組合せ論的表現論と箙多様体2017
- Author(s)
  石井基裕
- Journal Title
  
  第２８回有限群論草津セミナー報告集
  
  Volume: - Pages: 59-61
- Data Source
  KAKENHI-PROJECT-16K17577
[Journal Article] A型アフィン量子群とYoung図形2017
- Author(s)
  石井基裕
- Journal Title
  
  第２９回有限群論草津セミナー報告集
  
  Volume: - Pages: 32-36
- Data Source
  KAKENHI-PROJECT-16K17577
[Journal Article] Semi-infinite Lakshmibai-Seshadri path model for level-zero extremal weight modules over quantum affine algebras2016
- Author(s)
  Motohiro Ishii, Satoshi Naito and Daisuke Sagaki
- Journal Title
  
  Advances in Mathematics
  
  Volume: 290 Pages: 967-1009
- DOI
  10.1016/j.aim.2015.11.037
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04803, KAKENHI-PROJECT-26887002, KAKENHI-PROJECT-24540010, KAKENHI-PROJECT-16H03920
[Journal Article] Automorphisms of Niemeier lattices for Miyamoto's Z_3-orbifold construction2015
- Author(s)
  Motohiro Ishii, Daisuke Sagaki, and Hiroki Shimakura
- Journal Title
  
  Mathematische Zeitschrift
  
  Volume: 印刷中 Issue: 1-2 Pages: 55-83
- DOI
  10.1007/s00209-015-1413-z
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26887002
[Presentation] 一般の extremal weight module のパス模型の構成に向けて2019
- Author(s)
  石井基裕
- Organizer
  第31回有限群論草津セミナー
- Data Source
  KAKENHI-PROJECT-16K17577
[Presentation] 半無限ヤング盤がつくる柏原結晶とその応用2019
- Author(s)
  石井基裕
- Organizer
  京都大学数理解析研究所研究集会「表現論とその組合せ論的側面」
- Data Source
  KAKENHI-PROJECT-16K17577
[Presentation] 半無限Young盤がつくる柏原結晶2019
- Author(s)
  石井基裕
- Organizer
  大阪組合せ論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K17577
[Presentation] 半無限ヤング盤の組合せ論について2019
- Author(s)
  石井基裕
- Organizer
  室蘭工業大学数理科学談話会
- Invited
- Data Source
  KAKENHI-PROJECT-16K17577
[Presentation] Level-zero crystals of semi-infinite Young tableaux of untwisted affine type A2019
- Author(s)
  石井基裕
- Organizer
  東北大学組合せ論セミナー
- Data Source
  KAKENHI-PROJECT-16K17577
[Presentation] Bott-Samelson多様体と量子ループ代数の組合せ論的表現論2018
- Author(s)
  石井基裕
- Organizer
  第30回有限群論草津セミナー
- Data Source
  KAKENHI-PROJECT-16K17577
[Presentation] A型アフィン量子群とYoung図形2017
- Author(s)
  石井基裕
- Organizer
  第２９回有限群論草津セミナー
- Data Source
  KAKENHI-PROJECT-16K17577
[Presentation] Young図形の組合せ論と特殊線型Lie環の表現論2017
- Author(s)
  石井基裕
- Organizer
  組合せ論サマースクール2017
- Invited
- Data Source
  KAKENHI-PROJECT-16K17577
[Presentation] 量子ループ代数の組合せ論的表現論2016
- Author(s)
  石井基裕
- Organizer
  数理科学談話会
- Place of Presentation
  室蘭工業大学（北海道室蘭市）
- Year and Date
  2016-01-20
- Invited
- Data Source
  KAKENHI-PROJECT-26887002
[Presentation] 量子ループ代数の組合せ論的表現論と箙多様体2016
- Author(s)
  石井基裕
- Organizer
  第２８回有限群論草津セミナー
- Place of Presentation
  草津セミナーハウス
- Year and Date
  2016-07-30
- Data Source
  KAKENHI-PROJECT-16K17577
[Presentation] アフィングラスマン多様体入門2015
- Author(s)
  石井基裕
- Organizer
  アフィングラスマン多様体とその周辺
- Place of Presentation
  東京大学玉原国際セミナーハウス（群馬県沼田市）
- Year and Date
  2015-08-18
- Invited
- Data Source
  KAKENHI-PROJECT-26887002
[Presentation] 量子アフィン展開環のレベル・ゼロ表現に対するギャラリー模型2015
- Author(s)
  石井基裕
- Organizer
  Reresentation Theory Seminar
- Place of Presentation
  京都大学
- Year and Date
  2015-01-09
- Invited
- Data Source
  KAKENHI-PROJECT-26887002
[Presentation] A combinatorial realization of Weyl modules over quantum affine algebras2015
- Author(s)
  M. Ishii
- Organizer
  RIMS Camp-style seminar "Diagram algebras and topology"
- Place of Presentation
  沖縄県糸満市
- Year and Date
  2015-08-03
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26887002
[Presentation] Path and gallery models for level-zero representations of quantum affine algebras2014
- Author(s)
  石井基裕
- Organizer
  RIMS研究集会「有限群とその表現、頂点作用素代数、代数的組合せ論の研究」
- Place of Presentation
  京都大学
- Year and Date
  2014-12-17
- Invited
- Data Source
  KAKENHI-PROJECT-26887002
[Presentation] A gallery model for level-zero representations of quantum affine algebras2014
- Author(s)
  Motohiro Ishii
- Organizer
  Shanghai Workshop on Representation Theory
- Place of Presentation
  Tongji University, China
- Year and Date
  2014-12-08
- Invited
- Data Source
  KAKENHI-PROJECT-26887002
[Presentation] A gallery model for level-zero representations of quantum affine algebras2014
- Author(s)
  石井基裕
- Organizer
  RIMS研究集会「組合せ論的表現論と表現論的組合せ論」
- Place of Presentation
  京都大学
- Year and Date
  2014-10-29
- Data Source
  KAKENHI-PROJECT-26887002

1. 佐垣大輔

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Ishii Motohiro 石井 基裕

Research Projects

Research Products

Co-Researchers

量子展開環の端ウェイト加群の組合せ論的研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

アフィン量子群のレベル・ゼロ表現論と幾何学的佐武対応Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Geometric and combinatorial study of level-zero representation theory of quantum affine algebrasPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Geometry of semi-infinite flag varieties and level-zero representation theory of quantum affine algebrasPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Tableau models for semi-infinite Bruhat order and level-zero representations of quantum affine algebras2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Semi-infinite Young tableaux and standard monomial theory for semi-infinite Lakshmibai-Seshadri paths2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] 半無限ヤング盤がつくる柏原結晶とその応用2020

Author(s)

Journal Title

Data Source

[Journal Article] 一般の extremal weight module のパス模型の構成に向けて2020

Author(s)

Journal Title

Data Source

[Journal Article] Bott-Samelson多様体と量子ループ代数の組合せ論的表現論2019

Author(s)

Journal Title

Data Source

[Journal Article] 量子ループ代数の組合せ論的表現論と箙多様体2017

Author(s)

Journal Title

Data Source

[Journal Article] A型アフィン量子群とYoung図形2017

Author(s)

Journal Title

Data Source

[Journal Article] Semi-infinite Lakshmibai-Seshadri path model for level-zero extremal weight modules over quantum affine algebras2016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Automorphisms of Niemeier lattices for Miyamoto's Z_3-orbifold construction2015

Author(s)

Journal Title

DOI

Data Source

[Presentation] 一般の extremal weight module のパス模型の構成に向けて2019

Author(s)

Organizer

Data Source

[Presentation] 半無限ヤング盤がつくる柏原結晶とその応用2019

Author(s)

Organizer

Data Source

[Presentation] 半無限Young盤がつくる柏原結晶2019

Author(s)

Organizer

Data Source

Ishii Motohiro 石井基裕