The automorphism group of the Z(2)-orbifold of the Barnes-Wall lattice vertex operator algebra of central charge 32

作者：Shimakura Hiroki^*

来源：Mathematical Proceedings of the Cambridge Philosophical Society, 2014, 156(2): 343-361.

DOI：10.1017/S0305004113000704

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).

• 出版日期2014-3