English

On vertex algebras and their modules associated with even lattices

Quantum Algebra 2008-02-04 v1

Abstract

We study vertex algebras and their modules associated with possibly degenerate even lattices, using an approach somewhat different from others. Several known results are recovered and a number of new results are obtained. We also study modules for Heisenberg algebras and we classify irreducible modules satisfying certain conditions and obtain a complete reducibility theorem.

Keywords

Cite

@article{arxiv.0802.0173,
  title  = {On vertex algebras and their modules associated with even lattices},
  author = {Haisheng Li and Qing Wang},
  journal= {arXiv preprint arXiv:0802.0173},
  year   = {2008}
}

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24 pages