Finite vertex algebras and nilpotence

Abstract

I show that simple finite vertex algebras are commutative, and that the Lie conformal algebra structure underlying a reduced (i.e., without nilpotent elements) finite vertex algebra is nilpotent.

24 pages

References in corpus (2)

• Field Algebras
• A remark on simplicity of vertex algebras and Lie conformal algebras

Cited by in corpus (3)

• A remark on simplicity of vertex algebras and Lie conformal algebras
• Simplicity of quadratic Lie conformal algebras
• A root space decomposition for finite vertex algebras