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arXiv · 0802.0173

On vertex algebras and their modules associated with even lattices

Haisheng Li·Qing Wang
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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.

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Haisheng Li, Qing Wang. 2008-02-01. On vertex algebras and their modules associated with even lattices. https://arxiv.org/abs/0802.0173

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