Finite-dimensional modules for the polynomial ring in one variable as a vertex algebra
arXiv:0709.0188 · doi:10.1016/j.jalgebra.2008.04.023
Abstract
A commutative associative algebra over with a derivation is one of the simplest examples of a vertex algebra. However, the differences between the modules for as a vertex algebra and the modules for as an associative algebra are not well understood. In this paper, I give the classification of finite-dimensional indecomposable untwisted or twisted modules for the polynomial ring in one variable over as a vertex algebra.
17 pages