English

Representations of a class of lattice type vertex algebras

Quantum Algebra 2007-05-23 v1

Abstract

In this paper we study the representation theory for certain ``half lattice vertex algebras.'' In particular we construct a large class of irreducible modules for these vertex algebras. We also discuss how the representation theory of these vertex algebras are related to the representation theory of some associative algebras.

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Cite

@article{arxiv.math/0109215,
  title  = {Representations of a class of lattice type vertex algebras},
  author = {Stephen Berman and Chongying Dong and Shaobin Tan},
  journal= {arXiv preprint arXiv:math/0109215},
  year   = {2007}
}

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latex 24 pages