A remark on simplicity of vertex algebras and Lie conformal algebras

Details A remark on simplicity of vertex algebras and Lie conformal algebras A remark on simplicity of vertex algebras and Lie conformal algebras

2006-09-13

arxiv.org/abs/math/0609359v2

Mathematics

Quantum Algebra

6 pages. Some typos corrected. Removed a wrongly stated associativity property

Scientific paper

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.

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