A remark on simplicity of vertex algebras and Lie conformal algebras
arXiv:math/0609359 · doi:10.1016/j.jalgebra.2007.09.009
Abstract
I give a short proof of the following algebraic statement: if a vertex algebra is simple, then its underlying Lie conformal algebra is either abelian, or it is an irreducible central extension of a simple Lie conformal algebra.
6 pages. Some typos corrected. Removed a wrongly stated associativity property