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The automorphism group of the Z_2-orbifold of the Barnes-Wall lattice vertex operator algebra of central charge 32 (1310.6832v1)
Published 25 Oct 2013 in math.QA and math.GR
Abstract: In this article, 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 $E_6(2)$.
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