Naoi Katsuyuki 直井克之

… Alternative Names

NAOI Katsuyuki 直井克之

Less

Researcher Number	40647898
Other IDs
Affiliation (Current)	2026: 東京農工大学, 工学(系)研究科(研究院), 准教授
Affiliation (based on the past Project Information) *help	2017 – 2024: 東京農工大学, 工学(系)研究科(研究院), 准教授 2013 – 2016: 東京農工大学, 工学(系)研究科(研究院), 講師
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related / Algebra
Keywords	Principal Investigator 量子アフィン代数 / 箙Hecke代数 / 結晶基底 / Kirillov-Reshetikhin加群 / 古典極限 / Schur-Weyl双対性 / 拡大量子アフィンSchur-Weyl双対性 / 一般化量子アフィンSchur-Weyl双対性 / 双対データ / 量子アフィンSchur-Weyl双対性 … More / 拡大T系 / fusion積 / 次数付き極限 / minimal affinization / フュージョン積 / Kirillov-Reshetikhi加群 / 量子ループ代数 Less

Research Projects
(4 results)
Research Products
(42 results)

量子アフィンSchur-Weyl双対性の研究Principal Investigator
- Principal Investigator
  
  直井克之
- Project Period (FY)
  2024 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Tokyo University of Agriculture and Technology
crystal bases of Kirillov-Reshetikhin modulesPrincipal Investigator
- Principal Investigator
  
  Naoi Katsuyuki
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Tokyo University of Agriculture and Technology
Research on the classical limits of finite-dimensional representations over a quantum affine algebraPrincipal Investigator
- Principal Investigator
  
  Naoi Katsuyuki
- Project Period (FY)
  2016 – 2019
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Tokyo University of Agriculture and Technology
Study on finite-dimensional irreducible modules over a quantum loop algebra via extremal weight modulesPrincipal Investigator
- Principal Investigator
  
  NAOI Katsuyuki
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Tokyo University of Agriculture and Technology

All 2024 2023 2022 2021 2019 2018 2017 2016 2015 2014 2013

All Journal Article Presentation

[Journal Article] Strong Duality Data of Type A and Extended T-Systems2024
- Author(s)
  Katsuyuki Naoi
- Journal Title
  
  Transformation Groups
  
  Volume: 2024 Issue: 1 Pages: 47-47
- DOI
  10.1007/s00031-024-09860-5
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K03554
[Journal Article] 一般化量子アフィンSchur-Weyl双対性と圏同値2023
- Author(s)
  直井克之
- Journal Title
  
  第67回代数学シンポジウム報告集
  
  Volume: 67 Pages: 125-140
- Data Source
  KAKENHI-PROJECT-20K03554
[Journal Article] Equivalence between module categories over quiver Hecke algebras and Hernandez?Leclerc's categories in general types2021
- Author(s)
  Naoi Katsuyuki
- Journal Title
  
  Advances in Mathematics
  
  Volume: 389 Pages: 107916-107916
- DOI
  10.1016/j.aim.2021.107916
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03554
[Journal Article] Existence of Kirillov-Reshetikhin crystals for near adjoint nodes in exceptional types2021
- Author(s)
  Katsuyuki Naoi, Travis Scrimshaw
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 225 Issue: 5 Pages: 1-38
- DOI
  10.1016/j.jpaa.2020.106593
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03554
[Journal Article] Kirillov-Reshetikhin加群の結晶擬基底の存在について2018
- Author(s)
  直井克之
- Journal Title
  
  第4回Algebraic Lie Theory and Representation Theory報告集
  
  Volume: 4 Pages: 171-178
- Data Source
  KAKENHI-PROJECT-16K17563
[Journal Article] Existence of Kirillov-Reshetikhin crystals of type G_2^{(1)} and D_4^{(3)}2018
- Author(s)
  Katsuyuki Naoi
- Journal Title
  
  Journal of Algebra
  
  Volume: 512 Pages: 47-65
- DOI
  10.1016/j.jalgebra.2018.06.029
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17563
[Journal Article] 量子ループ代数の加群におけるテンソル積と古典極限を取る操作の非可換性について2017
- Author(s)
  直井克之
- Journal Title
  
  第二回Algebraic Lie Theory and Representation Theory報告集
  
  Volume: 2 Pages: 218-227
- Data Source
  KAKENHI-PROJECT-16K17563
[Journal Article] テンソル積と古典極限を取る操作の非可換性2017
- Author(s)
  直井克之
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 2039 Pages: 1-10
- Data Source
  KAKENHI-PROJECT-16K17563
[Journal Article] Tensor products of Kirillov-Reshetikhin modules and fusion products2017
- Author(s)
  Katsuyuki Naoi
- Journal Title
  
  International Mathematics Research Notices
  
  Volume: 印刷中 Pages: rnw183-rnw183
- DOI
  10.1093/imrn/rnw183
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17563
[Journal Article] Graded limits of minimal affinizations over the quantum loop algebra of type G22016
- Author(s)
  Jian-Rong Li, Katsuyuki Naoi
- Journal Title
  
  Algebras and Representation Theory
  
  Volume: 20 Issue: 4 Pages: 1-17
- DOI
  10.1007/s10468-016-9606-7
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25800006
[Journal Article] カレント代数のフュージョン積とSchur正値性2015
- Author(s)
  直井克之
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1977 Pages: 1-8
- Open Access
- Data Source
  KAKENHI-PROJECT-25800006
[Journal Article] Defining relations of fusion products and Schur positivity2015
- Author(s)
  Katsuyuki Naoi
- Journal Title
  
  Toyama Mathmatical Journal
  
  Volume: 37 Pages: 87-106
- NAID
  120005750755
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-25800006
[Journal Article] minimal affinizationのJacobi-Trudi型指標公式について2014
- Author(s)
  直井克之
- Journal Title
  
  代数学シンポジウム報告集
  
  Volume: 59 Pages: 176-187
- Data Source
  KAKENHI-PROJECT-25800006
[Journal Article] Graded limits of minimal affinizations in type D2014
- Author(s)
  Katsuyuki Naoi
- Journal Title
  
  Symmetry, Integrability and Geometry: Methods and Applications
  
  Volume: 10 Pages: 1-20
- DOI
  10.3842/sigma.2014.047
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25800006
[Journal Article] Demazure modules and graded limits of minimal affinizations2013
- Author(s)
  Katsuyuki Naoi
- Journal Title
  
  Representation Theory
  
  Volume: 17 Issue: 18 Pages: 524-556
- DOI
  10.1090/s1088-4165-2013-00442-9
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25800006
[Presentation] Generalization of the extended T-systems via strong duality data2024
- Author(s)
  Katsuyuki Naoi
- Organizer
  16th International Symposium on Natural Sciences
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03554
[Presentation] Generalization of the extended T-systems via strong duality data2024
- Author(s)
  Katsuyuki Naoi
- Organizer
  16th International Symposium on Natural Sciences
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24K06663
[Presentation] 量子ループ代数の有限次元加群圏における拡大T系の一般化について2024
- Author(s)
  直井克之
- Organizer
  信州代数セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-24K06663
[Presentation] Strong duality data of type A and extended T-systems2024
- Author(s)
  Katsuyuki Naoi
- Organizer
  Advances in Cluster Algebras 2024
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03554
[Presentation] 量子ループ代数の有限次元加群圏における拡大T系の一般化について2024
- Author(s)
  直井克之
- Organizer
  信州代数セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K03554
[Presentation] Strong duality data of type A and extended T-systems2023
- Author(s)
  直井克之
- Organizer
  東工大表現論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K03554
[Presentation] Equivalence between module categories over quiver Hecke algebras and Hernandez-Leclerc's subcategories2022
- Author(s)
  Katsuyuki Naoi
- Organizer
  Quantum Groups and Cluster Algebras
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03554
[Presentation] 一般化量子アフィンSchur-Weyl 双対性と圏同値2022
- Author(s)
  直井克之
- Organizer
  第67回代数学シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-20K03554
[Presentation] Equivalence via generalized quantum affine Schur-Weyl duality2021
- Author(s)
  直井克之
- Organizer
  代数的リー理論と表現論2021
- Data Source
  KAKENHI-PROJECT-20K03554
[Presentation] Equivalence via generalized quantum affine Schur-Weyl duality2021
- Author(s)
  直井克之
- Organizer
  南大阪代数セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K03554
[Presentation] Equivalence between module categories over quiver Hecke algebras and Hernandez-Leclerc's categories2021
- Author(s)
  Katsuyuki Naoi
- Organizer
  Conference on Algebraic Representation Theory 2021
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03554
[Presentation] Existence of Kirillov-Reshetikhin crystals for the near adjoint nodes in exceptional types2019
- Author(s)
  Katsuyuki Naoi
- Organizer
  Representation Theory of Algebraic Groups and Quantum Groups
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17563
[Presentation] Existence of KR crystals in types G_2^{(1)}, D_4^{(3)} and E_6^{(1)}2019
- Author(s)
  直井克之
- Organizer
  第４回Algebraic Lie Theory and Representation Theory
- Data Source
  KAKENHI-PROJECT-16K17563
[Presentation] 量子ループ代数の有限次元表現と古典極限2017
- Author(s)
  直井克之
- Organizer
  農工大数学セミナー2017
- Place of Presentation
  東京農工大学
- Invited
- Data Source
  KAKENHI-PROJECT-16K17563
[Presentation] Existence of Kirillov-Reshetikhin crystals of type G_2^{(1)} and D_4^{(3)}2017
- Author(s)
  Katsuyuki Naoi
- Organizer
  Infinite Analysis 17 -Algebraic and Combinatorial Aspects in Integrable Systems-
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17563
[Presentation] U_q(Lg)加群に対するテンソル積と古典極限を取る操作の非可換性について2017
- Author(s)
  直井克之
- Organizer
  日本数学会2017年度年会無限可積分系セッション一般講演
- Place of Presentation
  首都大学東京
- Data Source
  KAKENHI-PROJECT-16K17563
[Presentation] noncommutativity between operations of tensor product and classical limit on modules over a quantum loop algebra2016
- Author(s)
  直井克之
- Organizer
  Algebraic Lie Theory and Representation Theory
- Place of Presentation
  菅平高原プチ・ホテルゾンタック (長野県上田市)
- Year and Date
  2016-06-13
- Data Source
  KAKENHI-PROJECT-25800006
[Presentation] Noncommutativity between operations of tensor product and classical limit on modules over a quantum loop algebra2016
- Author(s)
  直井克之
- Organizer
  Algebraic Lie Theory and Representation Theory 2016
- Place of Presentation
  菅平高原プチ・ホテルゾンタック
- Invited
- Data Source
  KAKENHI-PROJECT-16K17563
[Presentation] Noncommutativity between the operations of tensor product and taking a classical limit2016
- Author(s)
  直井克之
- Organizer
  RIMS研究集会「リー型の組合せ論」
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-16K17563
[Presentation] Current代数のフュージョン積とSchur正値性2015
- Author(s)
  直井克之
- Organizer
  RIMS研究集会「表現論および関連する調和解析と微分方程式」
- Place of Presentation
  数理解析研究所 (京都府京都市)
- Year and Date
  2015-06-23
- Invited
- Data Source
  KAKENHI-PROJECT-25800006
[Presentation] Minimal affinizations and their graded limits2015
- Author(s)
  Katsuyuki Naoi
- Organizer
  Repsentation theory and Related Topics
- Place of Presentation
  伊良湖ビューホテル(愛知県田原市)
- Year and Date
  2015-02-18
- Invited
- Data Source
  KAKENHI-PROJECT-25800006
[Presentation] Minimal affinizations and their graded limits2014
- Author(s)
  Katsuyuki Naoi
- Organizer
  Conference on Cluster Algebras and Representation Theory
- Place of Presentation
  ソウル(韓国)
- Year and Date
  2014-11-04
- Invited
- Data Source
  KAKENHI-PROJECT-25800006
[Presentation] Graded limits of minimal affinizations2014
- Author(s)
  Katsuyuki Naoi
- Organizer
  Combinatorial representation theory
- Place of Presentation
  モントリオール大学
- Invited
- Data Source
  KAKENHI-PROJECT-25800006
[Presentation] 量子アフィン代数の有限次元既約表現とその次数付き極限2014
- Author(s)
  直井克之
- Organizer
  代数学シンポジウム
- Place of Presentation
  東京大学(東京都目黒区)
- Year and Date
  2014-09-11
- Invited
- Data Source
  KAKENHI-PROJECT-25800006
[Presentation] Minimal anizations and their graded limits2014
- Author(s)
  Katsuyuki Naoi
- Organizer
  Shanghai Workshop on Representation Theory
- Place of Presentation
  上海(中国)
- Year and Date
  2014-12-10
- Invited
- Data Source
  KAKENHI-PROJECT-25800006
[Presentation] Graded limits of finite-dimensional modules over quantum loop algebras2014
- Author(s)
  Katsuyuki Naoi
- Organizer
  Tsukuba Workshop on Infinite Dimensional Lie Theory and Related Topics -- History and Development --
- Place of Presentation
  筑波大学(茨城県つくば市)
- Year and Date
  2014-10-21
- Invited
- Data Source
  KAKENHI-PROJECT-25800006
[Presentation] An approach to the X=M conjecture using modules over a current algebra2013
- Author(s)
  直井克之
- Organizer
  日本数学会秋季総合分科会無限可積分系セッション特別講演
- Place of Presentation
  愛媛大学
- Invited
- Data Source
  KAKENHI-PROJECT-25800006

Naoi Katsuyuki 直井 克之

NAOI Katsuyuki 直井 克之

Research Projects

Research Products

量子アフィンSchur-Weyl双対性の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

crystal bases of Kirillov-Reshetikhin modulesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Research on the classical limits of finite-dimensional representations over a quantum affine algebraPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study on finite-dimensional irreducible modules over a quantum loop algebra via extremal weight modulesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Strong Duality Data of Type A and Extended T-Systems2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] 一般化量子アフィンSchur-Weyl双対性と圏同値2023

Author(s)

Journal Title

Data Source

[Journal Article] Equivalence between module categories over quiver Hecke algebras and Hernandez?Leclerc's categories in general types2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Existence of Kirillov-Reshetikhin crystals for near adjoint nodes in exceptional types2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Kirillov-Reshetikhin加群の結晶擬基底の存在について2018

Author(s)

Journal Title

Data Source

[Journal Article] Existence of Kirillov-Reshetikhin crystals of type G_2^{(1)} and D_4^{(3)}2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] 量子ループ代数の加群におけるテンソル積と古典極限を取る操作の非可換性について2017

Author(s)

Journal Title

Data Source

[Journal Article] テンソル積と古典極限を取る操作の非可換性2017

Author(s)

Journal Title

Data Source

[Journal Article] Tensor products of Kirillov-Reshetikhin modules and fusion products2017

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Graded limits of minimal affinizations over the quantum loop algebra of type G22016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] カレント代数のフュージョン積とSchur正値性2015

Author(s)

Journal Title

Data Source

[Journal Article] Defining relations of fusion products and Schur positivity2015

Author(s)

Naoi Katsuyuki 直井克之

NAOI Katsuyuki 直井克之