A remark on simplicity of vertex algebras and Lie conformal algebras

JOURNAL OF ALGEBRA

卷:319

Article

D'Andrea, Alessandro

关键词: vertex algebras;    Lie conformal algebras;    simplicity;   

DOI  :  10.1016/j.jalgebra.2007.09.009

来源: Elsevier

【 摘 要 】

I give a short proof of the following algebraic statement: in a simple vertex algebra, the underlying Lie conformal algebra is either abelian, or it is an irreducible central extension of a simple Lie conformal algebra. This provides many examples of non-finite simple Lie conformal algebras, and should prove useful for classification purposes. (c) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free