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. © 2007 Elsevier Inc. All rights reserved.
D'Andrea A. (2008). A remark on simplicity of vertex algebras and Lie conformal algebras. JOURNAL OF ALGEBRA, 319(5), 2106-2112 [10.1016/j.jalgebra.2007.09.009].
A remark on simplicity of vertex algebras and Lie conformal algebras
D'Andrea A.
2008
Abstract
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. © 2007 Elsevier Inc. All rights reserved.File in questo prodotto:
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