English

On embedding of Lie conformal algebras into associative conformal algebras

Quantum Algebra 2007-05-23 v2

Abstract

We prove that a Lie conformal algebra L with bounded locality function is embeddable into an associative conformal algebra A with the same bound on the locality function. If L is nilpotent, then so is A, and the nilpotency index remains the same. We also give a list of open questions concerning the embedding of Lie conformal algebras into associative conformal.

Keywords

Cite

@article{arxiv.math/0404507,
  title  = {On embedding of Lie conformal algebras into associative conformal algebras},
  author = {Michael Roitman},
  journal= {arXiv preprint arXiv:math/0404507},
  year   = {2007}
}