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TANABE Kenichiro

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Published Papers  
No.ＴitleJournalVolNoStart PageEnd PagePublication dateDOIReferee
1The 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.2021.01.0381Refereed 
2Simple 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-x1Refereed 
3A generalization of intertwining operators for vertex operator algebras JOURNAL OF ALGEBRA 491 372 401 Dec. 2017 https://doi.org/10.1016/j.jalgebra.2017.08.0111Refereed 
4SIMPLE 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/137671Refereed 
5A 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/067311091Refereed 
6Fixed 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/065411691Refereed 
7Finite-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.2012.02.0011Refereed 
8Finite-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.2011.04.0241Refereed 
9Representations 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.2008.07.0021Refereed 
10Finite-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.2008.04.0231Refereed 
11The 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 
12On 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.2005.01.0441Refereed 
13On 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.0000035468.86695.401Refereed 
14Z_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
15Extremal 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.2003.08.0011Refereed 
16Uniform 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.2003.11.0171Refereed 
17A 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:10254328048031Refereed 
18A 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:10083088208211Refereed 
19Some algebra related to 𝑃- and 𝑄-polynomial association schemes Codes and Association Schemes 167 192 Feb. 13, 2001 https://doi.org/10.1090/dimacs/056/141
20An Assmus-Mattson theorem for Z_4-codes IEEE TRANSACTIONS ON INFORMATION THEORY 46 1 48 53 Jan. 2000 https://doi.org/10.1109/18.8175071Refereed 
21On the centralizer algebra of the unitary reflection group G(m, p, n) NAGOYA MATHEMATICAL JOURNAL 148 113 126 Dec. 1997  Refereed 
22The irreducible modules of the Terwilliger algebras of Doob schemes JOURNAL OF ALGEBRAIC COMBINATORICS 6 2 173 195 Apr. 1997  Refereed 
23On 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.50.4371Refereed 

　

MISC  
No.ＴitleJournalVolNoStart PageEnd PagePublication date
1The 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 
2Fixed 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 
3Ternary code VOA and an automorphism of order 3(Algebraic combinatorics and the related areas of research) RIMS Kokyuroku 1476 12 20 Mar. 2006 
4On designs in codes over $\mathbf{Z}_4$ (Algebraic Combinatorics) RIMS Kokyuroku 1109 12 21 Aug. 1999 

　

Conference Activities & Talks  
No.ＴitleConferencePublication datePromoterVenue
1Fusion 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 
2Fusion 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