Constructing tensor products of modules for C 2-cofinite vertex operator superalgebras

被引：0

作者：

Han, Jianzhi ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2014年 / 9卷 / 03期

基金：

中国博士后科学基金;

关键词：

vertex operator superalgebra; tensor product; C-2-cofiniteness; ALGEBRAS; REPRESENTATIONS; C-2-COFINITENESS; RATIONALITY; INVARIANCE; MODULARITY;

D O I：

10.1007/s11464-014-0369-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For any C (2)-cofinite vertex operator superalgebra V, the tensor product and the P(z)-tensor product of any two admissible V -modules of finite length are proved to exist, which are shown to be isomorphic, and their constructions are given explicitly in this paper.

引用

页码：477 / 494

页数：18

共 24 条

[1] Rationality, regularity, and C2-cofiniteness
Abe, T
Buhl, G
Dong, CY
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 356 (08) : 3391 - 3402
[2] [Anonymous], MEM AM MATH SOC
[3] [Anonymous], ARXIV07102687
[4] A spanning set for VOA modules
Buhl, G
[J]. JOURNAL OF ALGEBRA, 2002, 254 (01) : 125 - 151
[5] Spanning sets for Mobius vertex algebras satisfying arbitrary difference conditions
Buhl, Geoffrey
Karaali, Gizem
[J]. JOURNAL OF ALGEBRA, 2008, 320 (08) : 3345 - 3364
[6] On Rationality of Vertex Operator Superalgebras
Dong, Chongying
Han, Jianzhi
[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2014, 2014 (16) : 4379 - 4399
[7] Representations of vertex operator algebras and bimodules
Dong, Chongying
Ren, Li
[J]. JOURNAL OF ALGEBRA, 2013, 384 : 212 - 226
[8] SOME FINITE PROPERTIES FOR VERTEX OPERATOR SUPERALGEBRAS
Dong, Chongying
Han, Jianzhi
[J]. PACIFIC JOURNAL OF MATHEMATICS, 2012, 258 (02) : 269 - 290
[9] Twisted representations of vertex operator algebras
Dong, CY
Li, HS
Mason, G
[J]. MATHEMATISCHE ANNALEN, 1998, 310 (03) : 571 - 600
[10] Modularity in orbifold theory for vertex operator superalgebras
Dong, CY
Zhao, ZP
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2005, 260 (01) : 227 - 256

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