The automorphism group of the Z2-orbifold of the Barnes-Wall lattice vertex operator algebra of central charge 32

被引：4

作者：

Shimakura, Hiroki ^{[1
]}

机构：

[1] Tohoku Univ, Grad Sch Informat Sci, Res Ctr Pure & Appl Math, Aoba Ku, Sendai, Miyagi 9808579, Japan

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2014年 / 156卷 / 02期

关键词：

PERMUTATION-GROUPS; ISING VECTORS; MOONSHINE; V-L(+); REPRESENTATIONS; CLASSIFICATION;

D O I：

10.1017/S0305004113000704

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove that the full automorphism group of the Z(2)-orbifold of the Barnes-Wall lattice vertex operator algebra of central charge 32 has the shape 2(27).E-6(2). In order to identify the group structure, we introduce a graph structure on the Griess algebra and show that it is a rank 3 graph associated to E-6(2).

引用

页码：343 / 361

页数：19

共 43 条

[1] Fusion rules for the vertex operator algebras M(1)+ and VL+ [J].