On isomorphism problems for vertex operator algebras associated with even lattices

Shimakura, Hiroki

doi:10.1090/S0002-9939-2011-11167-5

On isomorphism problems for vertex operator algebras associated with even lattices
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Proc. Amer. Math. Soc. 140 (2012), 3333-3348 Request permission

Abstract:

In this article, we completely determine the isomorphism classes of lattice vertex operator algebras and the vertex operator subalgebras fixed by a lift of the $-1$-isometry of the lattice. We also provide similar results for certain even lattices associated with doubly-even binary codes.

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