%0 Journal Article %T A remark on simplicity of vertex algebras and Lie conformal algebras %A Alessandro D'Andrea %J Mathematics %D 2006 %I arXiv %R 10.1016/j.jalgebra.2007.09.009 %X 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. %U http://arxiv.org/abs/math/0609359v2