Elsevier

Journal of Algebra

Volume 208, Issue 1, 1 October 1998, Pages 262-275
Journal of Algebra

Regular Article
Rank One Lattice Type Vertex Operator Algebras and Their Automorphism Groups

https://doi.org/10.1006/jabr.1998.7498Get rights and content
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Abstract

LetLbe a positive definite even lattice of rank one andV + Lbe the fixed points of the lattice VOAVLassociated toLunder an automorphism ofVLlifting the −1 isometry ofL. A set of generators and the full automorphism group ofV + Lare determined.

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Communicated by Geoffrey, Mason

*

The first author is supported by NSF Grant DMS-9700923 and a research grant from the Committee on Research, UC Santa Cruz.

The second author is supported by NSF Grant DMS-9623038 and the University of Michigan Faculty Recognition Grant (1993–96).

f1

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f2

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