Rchr
J-GLOBAL ID:200901061412321828
Update date: Nov. 17, 2025
Tanabe Kenichiro
タナベ ケンイチロウ | Tanabe Kenichiro
Affiliation and department:
Research field (3):
Algebra
, Applied mathematics and statistics
, Basic mathematics
Research keywords (4):
vertex algebras
, 組合せ論
, codes
, association schemes
Research theme for competitive and other funds (17):
- 2024 - 2027 頂点代数上の加群の拡張
- 2021 - 2024 頂点代数上の加群の拡張とテンソル積
- 2018 - 2021 a generalization of the notion of a module for a vertex algebra
- 2015 - 2018 modules for a vertex subalgebra
- 2011 - 2016 Geometric moduli theory and its theoretical applications
- 2012 - 2015 Study of representation theory of fixed point vertex subalgebras
- 2011 - 2013 Research on vertex operator algebras associated with parafermion algebras
- 2008 - 2011 Research on modules over fixed point vertex subalgebras
- 2008 - 2010 Research on irreducible representations of W-algebras by using lattice vertex operator algebras
- 2006 - 2009 Representations of Terwilliger algebras and their applications
- 2005 - 2008 Detection of hidden symmetries in sporadic simple groups and vertex operator algebras
- 2005 - 2007 自己同型群による不変部分頂点作用素代数の表現のヅー代数による考察
- 2004 - 2006 非有理型を含む頂点作用素代数における環論・モジュラー形式論・群論の新展開
- 2004 - 2005 Generalization of Hopf-quotient theory and applications to subfactors and others
- 2002 - 2003 Extremal codeの被覆半径の上限、下限の改良と符号の他分野への応用
- 2002 - 2003 Classification of coquasi-Hopf algebras by tensor equivalence and constructions of new braidings
- 2000 - 2001 Classification of Hopf algebras and quantum groups by tensor equivalences
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Papers (26):
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Kenichiro Tanabe. Fusion rules for the fixed point subalgebra of the vertex algebra associated with a non-degenerate and non-positive definite even lattice by an automorphism of order 2. Journal of Algebra and Its Applications. 2025. 24. 07
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Kenichiro TANABE. The irreducible weak modules for the fixed point subalgebra of the vertex algebra associated to a non-degenerate even lattice by an automorphism of order 2 (Part 2). Journal of the Mathematical Society of Japan. 2024. 76. 3
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Kenichiro Tanabe. A Schur-Weyl type duality for twisted weak modules over a vertex algebra. Proceedings of the American Mathematical Society. 2024. 152. 9. 3743-3755
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Kenichiro Tanabe. The irreducible weak modules for the fixed point subalgebra of the vertex algebra associated to a non-degenerate even lattice by an automorphism of order 2 (Part 1). Journal of Algebra. 2021. 575. 31-66
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Kenichiro Tanabe. Simple Weak Modules for Some Subalgebras of the Heisenberg Vertex Algebra and Whittaker Vectors. Algebras and Representation Theory. 2020. 23. 1. 53-66
more...
MISC (5):
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田辺 顕一朗. 頂点代数のtwisted加群について (有限群とその表現, 頂点作用素代数, 組合せ論の研究). 数理解析研究所講究録. 2012. 1811. 1-12
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Tanabe Kenichiro, Yamada Hiromichi. Fixed point subalgebras of lattice vertex operator algebras by an automorphism of order three(Group Theory and Related Topics). RIMS Kokyuroku. 2007. 1564. 76-84
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Tanabe Kenichiro, Yamada Hiromichi. Ternary code VOA and an automorphism of order 3(Algebraic combinatorics and the related areas of research). RIMS Kokyuroku. 2006. 1476. 12-20
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田辺 顕一朗. 小関多項式と符合の被覆半径の計算 (符合・格子・頂点作用素代数と有限群). 数理解析研究所講究録. 2001. 1228. 51-60
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Tanabe Kenichiro. On designs in codes over $\mathbf{Z}_4$ (Algebraic Combinatorics). RIMS Kokyuroku. 1999. 1109. 12-21
Lectures and oral presentations (7):
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頂点代数上の加群のシュアー・ワイル型双対性
(日本数学会2024年度年会 2024)
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頂点代数上の加群のシュアー・ワイル型双対性
(第39回代数的組合せ論シンポジウム 2023)
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頂点代数の twisted 弱加群の双対性
(有限群論・駒場セミナー 2023)
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Fusion rules for the xed point subalgebra of the vertex algebra associated with a non-degenerate and non-positive de nite even lattice by an automorphism of order 2
(2023)
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Fusion rules for the vertex algebra V_{L}^{+} when L is a non-positive definite even lattice.
(Conference in finite groups and vertex algebras 2022)
more...
Professional career (1):
Work history (5):
- 2022/04 - 現在 Tokyo City University Faculty of Liberal Arts and Sciences Professor
- 2007/04 - 2022/03 Hokkaido University
- 2005 - 2007/03 Hokkaido University Faculty of Science, Department of Mathematics
- 2001 - 2005 University of Tsukuba
- 2000 - 2001 Pohang 工科大学校 研究員
Association Membership(s) (1):
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