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J-GLOBAL ID:201801009883443689   Update date: Jan. 30, 2024

Naoi Katsuyuki

Naoi Katsuyuki
Affiliation and department:
Job title: Associate Professor
Other affiliations (2):
Homepage URL  (1): http://www.tuat.ac.jp/~naoik/link.html
Research field  (1): Algebra
Research keywords  (1): Representation theory of infinite-dimensional Lie algebras and their quantum analog
Research theme for competitive and other funds  (3):
  • 2020 - 2024 Kirillov-Reshetikhin加群の結晶基底
  • 2016 - 2019 量子アフィン代数の有限次元表現の古典極限に関する研究
  • 2013 - 2016 Study on finite-dimensional irreducible modules over a quantum loop algebra via extremal weight modules
Papers (22):
  • Katsuyuki Naoi. Equivalence between module categories over quiver Hecke algebras and Hernandez-Leclerc's categories in general types. Advances in Mathematics. 2021. 389. 107916-107916
  • Katsuyuki Naoi, Travis Scrimshaw. Existence of Kirillov-Reshetikhin crystals for near adjoint nodes in exceptional types. Journal of Pure and Applied Algebra. 2021. 225. 5. 106593-106593
  • Katsuyuki Naoi. Existence of Kirillov-Reshetikhin crystals of type G_2^{(1)} and D_4^{(3)}. Journal of Algebra. 2018. 512. 47-65
  • Katsuyuki Naoi. Tensor Products of Kirillov-Reshetikhin Modules and Fusion Products. INTERNATIONAL MATHEMATICS RESEARCH NOTICES. 2017. 18. 5667-5709
  • 直井克之. 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. 第2回Algebraic Lie Theory and Representation Theory 報告集. 2017. 2. 218-227
more...
Lectures and oral presentations  (47):
  • Strong duality data of type A and extended T-systems
    (東工大表現論セミナー 2023)
  • 拡大量子アフィンSchur-Weyl双対性と圏同値
    (第67回代数学シンポジウム 2022)
  • Equivalence between module categories over quiver Hecke algebras and Hernandez-Leclerc's subcategories
    (Quantum Groups and Cluster Algebras 2022)
  • Equivalence between module categories over quiver Hecke algebras and Hernandez-Leclerc's categories
    (Conference on Algebraic Representation Theory 2021 2021)
  • Equivalence via generalized quantum affine Schur-Weyl duality
    (代数的リー理論と表現論2021 2021)
more...
Education (3):
  • 2008 - 2011 The University of Tokyo Graduate School, Division of Mathematical Sciences 数理科学専攻
  • 2006 - 2008 The University of Tokyo Graduate School, Division of Mathematical Sciences 数理科学専攻
  • 2002 - 2006 The University of Tokyo Faculty of Science mathematics
Work history (2):
  • 2012/04/01 - 2013/01/31 - Kavli Institute for the Physics and Mathematics of the Universe, University of Tokyo
  • 2011/04/01 - 2012/03/31 - 東京大学大学院数理科学研究科Global COE研究員
Association Membership(s) (1):
Mathematical Society of Japan
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