On isomorphism problems for vertex operator algebras associated with even lattices

Hiroki Shimakura

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

On isomorphism problems for vertex operator algebras associated with even lattices

Hiroki Shimakura

INF - Computer and Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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.

Original language	English
Pages (from-to)	3333-3348
Number of pages	16
Journal	Proceedings of the American Mathematical Society
Volume	140
Issue number	10
DOIs	https://doi.org/10.1090/S0002-9939-2011-11167-5
Publication status	Published - 2012

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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title = "On isomorphism problems for vertex operator algebras associated with even lattices",

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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language = "English",

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