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 (16)：

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Papers (24)：

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
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
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
Kenichiro Tanabe. A generalization of intertwining operators for vertex operator algebras. JOURNAL OF ALGEBRA. 2017. 491. 372-401
Kenichiro Tanabe. SIMPLE WEAK MODULES FOR THE FIXED POINT SUBALGEBRA OF THE HEISENBERG VERTEX OPERATOR ALGEBRA OF RANK 1 BY AN AUTOMORPHISM OF ORDER 2 AND WHITTAKER VECTORS. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. 2017. 145. 10. 4127-4140

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MISC (7)：

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. to appear in Journal of Algebra and its Applications. 2024
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). 2023
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
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
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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Lectures and oral presentations (7)：

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)
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)
頂点代数の twisted 弱加群の双対性
(有限群論・駒場セミナー 2023)
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)
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)

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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)：

日本数学会

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