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TANABE Kenichiro

Profile	Research field	Research achievement	Educational achievement	Social contribution achievement

　

• Published Papers
• MISC
• Conference Activities & Talks
• Research Grants & Projects

Published Papers
No.	Ｔitle	Journal	Vol	No	Start Page	End Page	Publication date	DOI	Referee
1	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	575		31	66	Jun. 2021	https://doi.org/10.1016/j.jalgebra.2021.01.0381	Refereed
2	Simple Weak Modules for Some Subalgebras of the Heisenberg Vertex Algebra and Whittaker Vectors	Algebras and Representation Theory	23	1	53	66	2020	https://doi.org/10.1007/s10468-018-9837-x1	Refereed
3	A generalization of intertwining operators for vertex operator algebras	JOURNAL OF ALGEBRA	491		372	401	Dec. 2017	https://doi.org/10.1016/j.jalgebra.2017.08.0111	Refereed
4	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	145	10	4127	4140	Oct. 2017	https://doi.org/10.1090/proc/137671	Refereed
5	A generalization of twisted modules over vertex algebras	JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN	67	3	1109	1146	Jul. 2015	https://doi.org/10.2969/jmsj/067311091	Refereed
6	Fixed point subalgebras of lattice vertex operator algebras by an automorphism of order three	JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN	65	4	1169	1242	Oct. 2013	https://doi.org/10.2969/jmsj/065411691	Refereed
7	Finite-dimensional vertex algebra modules over fixed point differential subfields	JOURNAL OF ALGEBRA	356	1	1	16	Apr. 2012	https://doi.org/10.1016/j.jalgebra.2012.02.0011	Refereed
8	Finite-dimensional vertex algebra modules over fixed point commutative subalgebras	JOURNAL OF ALGEBRA	337	1	323	334	Jul. 2011	https://doi.org/10.1016/j.jalgebra.2011.04.0241	Refereed
9	Representations of a fixed-point subalgebra of a class of lattice vertex operator algebras by an automorphism of order three	EUROPEAN JOURNAL OF COMBINATORICS	30	3	725	735	Apr. 2009	https://doi.org/10.1016/j.ejc.2008.07.0021	Refereed
10	Finite-dimensional modules for the polynomial ring in one variable as a vertex algebra	JOURNAL OF ALGEBRA	320	3	1261	1274	Aug. 2008	https://doi.org/10.1016/j.jalgebra.2008.04.0231	Refereed
11	The fixed point subalgebra of a lattice vertex operator algebra by an automorphism of order three	PACIFIC JOURNAL OF MATHEMATICS	230	2	469	510	Apr. 2007		Refereed
12	On intertwining operators and finite automorphism groups of vertex operator algebras	JOURNAL OF ALGEBRA	287	1	174	198	May. 2005	https://doi.org/10.1016/j.jalgebra.2005.01.0441	Refereed
13	On the covering radius of ternary extremal self-dual codes	Designs, Codes, and Cryptography	33	2	149	158	Sep. 2004	https://doi.org/10.1023/B:DESI.0000035468.86695.401	Refereed
14	Z_3 symmetry and W_3 algebra in lattice vertex operator algebras	Pacific Journal of Mathematics	215	2	245	296	Jun. 1, 2004	https://doi.org/10.2140/pjm.2004.215.2451
15	Uniform product of Ag,n(V) for an orbifold model V and G-twisted Zhu algebra	JOURNAL OF ALGEBRA	274	1	80	96	Apr. 2004	https://doi.org/10.1016/j.jalgebra.2003.11.0171	Refereed
16	Extremal self-dual [40,20,8] codes with covering radius 7	FINITE FIELDS AND THEIR APPLICATIONS	10	2	183	197	Apr. 2004	https://doi.org/10.1016/j.ffa.2003.08.0011	Refereed
17	A criterion for designs in Z(4)-codes on the symmetrized weight enumerator	DESIGNS CODES AND CRYPTOGRAPHY	30	2	169	185	Sep. 2003	https://doi.org/10.1023/A:10254328048031	Refereed
18	A new proof of the Assmus-Mattson theorem for non-binary codes	DESIGNS CODES AND CRYPTOGRAPHY	22	2	149	155	Mar. 2001	https://doi.org/10.1023/A:10083088208211	Refereed
19	Some algebra related to 𝑃- and 𝑄-polynomial association schemes	Codes and Association Schemes, DIMACS - Series in Discrete Mathematics and Theoretical Computer Science Volume 56.			167	192	Feb. 13, 2001	https://doi.org/10.1090/dimacs/056/141	Refereed
20	An Assmus-Mattson theorem for Z_4-codes	IEEE TRANSACTIONS ON INFORMATION THEORY	46	1	48	53	Jan. 2000	https://doi.org/10.1109/18.8175071	Refereed
21	On the centralizer algebra of the unitary reflection group G(m, p, n)	NAGOYA MATHEMATICAL JOURNAL	148		113	126	Dec. 1997		Refereed
22	The irreducible modules of the Terwilliger algebras of Doob schemes	JOURNAL OF ALGEBRAIC COMBINATORICS	6	2	173	195	Apr. 1997		Refereed
23	On molien series of the invariant ring associated to the unitary reflection group G(m,p,n)	Kyushu Journal of Mathematics	50	2	437	458	1996	https://doi.org/10.2206/kyushujm.50.4371	Refereed

　

MISC
No.	Ｔitle	Journal	Vol	No	Start Page	End Page	Publication date
1	A Schur-Weyl type duality for twisted weak modules over a vertex algebra	to appear in Proceedings of the American Mathematical Society					Mar. 2024
2	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					Jan. 2024
3	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)						Mar. 2023
4	Fixed point subalgebras of lattice vertex operator algebras by an automorphism of order three(Group Theory and Related Topics)	RIMS Kokyuroku	1564		76	84	Jul. 2007
5	Ternary code VOA and an automorphism of order 3(Algebraic combinatorics and the related areas of research)	RIMS Kokyuroku	1476		12	20	Mar. 2006
6	On designs in codes over $\mathbf{Z}_4$ (Algebraic Combinatorics)	RIMS Kokyuroku	1109		12	21	Aug. 1999

　

Conference Activities & Talks
No.	Ｔitle	Conference	Publication date	Promoter	Venue
1	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		Mar. 15, 2023
2	Fusion rules for the vertex algebra V_{L}^{+} when L is a non-positive definite even lattice.	Conference in finite groups and vertex algebras	Dec. 19, 2022		Institute of Mathematics, Academia Sinica

　

Research Grants & Projects
No.	Offer organization	System name	Title	Fund classification	Date
1	Japan Society for the Promotion of Science	Grants-in-Aid for Scientific Research	a generalization of the notion of a module for a vertex algebra	competitive_research_funding	Apr. 2018 - Mar. 2021
2	Japan Society for the Promotion of Science	Grants-in-Aid for Scientific Research	modules for a vertex subalgebra	competitive_research_funding	Apr. 2015 - Mar. 2018
3	Japan Society for the Promotion of Science	Grants-in-Aid for Scientific Research	Study of representation theory of fixed point vertex subalgebras	competitive_research_funding	Apr. 2012 - Mar. 2015
4	Japan Society for the Promotion of Science	Grants-in-Aid for Scientific Research	Geometric moduli theory and its theoretical applications		Apr. 2011 - Mar. 2016
5	Japan Society for the Promotion of Science	Grants-in-Aid for Scientific Research	Research on vertex operator algebras associated with parafermion algebras		2011 - 2013
6	Japan Society for the Promotion of Science	Grants-in-Aid for Scientific Research	Research on modules over fixed point vertex subalgebras	competitive_research_funding	Apr. 2008 - Mar. 2011
7	Japan Society for the Promotion of Science	Grants-in-Aid for Scientific Research	Research on irreducible representations of W-algebras by using lattice vertex operator algebras		2008 - 2010
8	Japan Society for the Promotion of Science	Grants-in-Aid for Scientific Research	Representations of Terwilliger algebras and their applications		2006 - 2009
9	Japan Society for the Promotion of Science	Grants-in-Aid for Scientific Research	Detection of hidden symmetries in sporadic simple groups and vertex operator algebras		2005 - 2008
10	Japan Society for the Promotion of Science	Grants-in-Aid for Scientific Research	Generalization of Hopf-quotient theory and applications to subfactors and others		2004 - 2005
11	Japan Society for the Promotion of Science	Grants-in-Aid for Scientific Research	Classification of coquasi-Hopf algebras by tensor equivalence and constructions of new braidings		2002 - 2003
12	Japan Society for the Promotion of Science	Grants-in-Aid for Scientific Research	Classification of Hopf algebras and quantum groups by tensor equivalences		2000 - 2001

　

　

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