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).
|Number of pages||19|
|Journal||Mathematical Proceedings of the Cambridge Philosophical Society|
|Publication status||Published - 2014 Mar|
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