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

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Abstract

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).

Original languageEnglish
Pages (from-to)343-361
Number of pages19
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume156
Issue number2
DOIs
Publication statusPublished - 2014 Mar

ASJC Scopus subject areas

  • Mathematics(all)

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