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The automorphism group of the
${\mathbb Z}_2$-orbifold of the Barnes–Wall lattice vertex operator algebra of central charge 32
Published online by Cambridge University Press: 09 January 2014
Abstract
In this paper, we prove that the full automorphism group of the ${\mathbb Z}_2$-orbifold of the Barnes–Wall lattice vertex operator algebra of central charge 32 has the shape 227.E6(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 E6(2).
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 156 , Issue 2 , March 2014 , pp. 343 - 361
- Copyright
- Copyright © Cambridge Philosophical Society 2014
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