Article ID Journal Published Year Pages File Type
4588182 Journal of Algebra 2008 26 Pages PDF
Abstract

In this paper, we first classify all irreducible modules of the vertex algebra when L is a negative definite even lattice of arbitrary rank. In particular, we show that any irreducible -module is isomorphic to a submodule of an irreducible twisted VL-module. We then extend this result to a vertex algebra when L is a nondegenerate even lattice of finite rank.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory