TY - JOUR

T1 - The automorphism group of the ℤ2-orbifold of the Barnes-Wall lattice vertex operator algebra of central charge 32

AU - Shimakura, Hiroki

PY - 2014/3

Y1 - 2014/3

N2 - In this paper, we prove that the full automorphism group of the ℤ2-orbifold of the Barnes-Wall lattice vertex operator algebra of central charge 32 has the shape 227.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).

AB - In this paper, we prove that the full automorphism group of the ℤ2-orbifold of the Barnes-Wall lattice vertex operator algebra of central charge 32 has the shape 227.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).

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U2 - 10.1017/S0305004113000704

DO - 10.1017/S0305004113000704

M3 - Article

AN - SCOPUS:84897029119

VL - 156

SP - 343

EP - 361

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

SN - 0305-0041

IS - 2

ER -