English

Finite vertex algebras and nilpotence

Quantum Algebra 2012-10-19 v1

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.

Keywords

Cite

@article{arxiv.0707.4160,
  title  = {Finite vertex algebras and nilpotence},
  author = {Alessandro D'Andrea},
  journal= {arXiv preprint arXiv:0707.4160},
  year   = {2012}
}

Comments

24 pages

R2 v1 2026-06-21T09:02:32.070Z