Rationality of vertex operator algebra VL+: higher rank

被引：16

作者：

Dong, Chongying ^{[1
,2
]}

Jiang, Cuipo ^{[3
]}

Lin, Xingjun ^{[1
]}

机构：

[1] Sichuan Univ, Sch Math, Chengdu 610065, Peoples R China

[2] Univ Calif Santa Cruz, Dept Math, Santa Cruz, CA 95064 USA

[3] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

来源：

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY | 2012年 / 104卷

基金：

美国国家科学基金会;

关键词：

IRREDUCIBLE MODULES; FUSION RULES; REPRESENTATIONS; CLASSIFICATION; REGULARITY; M(1)(+);

D O I：

10.1112/plms/pdr055

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The lattice vertex operator V-L associated to a positive definite even lattice L has an automorphism of order 2 lifted from-1 isometry of L. It is established that the fixed point vertex operator algebra V-L(+) is rational.

引用

页码：799 / 826

页数：28

共 45 条

[1] Rationality of the vertex algebra VL+ when L is a non-degenerate even lattice of arbitrary rank
Yamskulna, Gaywalee
JOURNAL OF ALGEBRA, 2009, 321 (03) : 1005 - 1015
[2] Representations of the vertex operator algebra VL2A4
Dong, Chongying
Jiang, Cuipo
JOURNAL OF ALGEBRA, 2013, 377 : 76 - 96
[3] C2-COFINITENESS OF THE VERTEX ALGEBRA VL+ WHEN L IS A NONDEGENERATE EVEN LATTICE
Jitjankarn, Phichet
Yamskulna, Gaywalee
COMMUNICATIONS IN ALGEBRA, 2010, 38 (12) : 4404 - 4415
[4] Fusion rules for the vertex operator algebra VL2A4
Dong, Chongying
Jiang, Cuipo
Jiang, Qifen
Jiao, Xiangyu
Yu, Nina
JOURNAL OF ALGEBRA, 2015, 423 : 476 - 505
[5] A characterization of the rational vertex operator algebra VZα+: II
Dong, Chongying
Jiang, Cuipo
ADVANCES IN MATHEMATICS, 2013, 247 : 41 - 70
[6] 2-Permutations of lattice vertex operator algebras: Higher rank
Dong, Chongying
Xu, Feng
Yu, Nina
JOURNAL OF ALGEBRA, 2017, 476 : 1 - 25
[7] 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
Tanabe, Kenichiro
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145 (10) : 4127 - 4140
[8] TWISTED HEISENBERG-VIRASORO VERTEX OPERATOR ALGEBRA
Guo, Hongyan
Wang, Qing
GLASNIK MATEMATICKI, 2019, 54 (02) : 369 - 407
[9] The level two Zhu algebra for the Heisenberg vertex operator algebra
Addabbo, Darlayne
Barron, Katrina
COMMUNICATIONS IN ALGEBRA, 2023, 51 (08) : 3405 - 3463
[10] A quasi-Hopf algebra for the triplet vertex operator algebra
Creutzig, Thomas
Gainutdinov, Azat M.
Runkel, Ingo
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2020, 22 (03)

← 1 2 3 4 5 →