A remark on simplicity of vertex algebras and Lie conformal algebras

被引：4

作者：

D'Andrea, Alessandro ^{[1
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy

来源：

JOURNAL OF ALGEBRA | 2008年 / 319卷 / 05期

关键词：

vertex algebras; Lie conformal algebras; simplicity;

D O I：

10.1016/j.jalgebra.2007.09.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：2106 / 2112

页数：7

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