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On embedding of Lie conformal algebras into associative conformal algebras

Research paper by Michael Roitman

Indexed on: 04 Aug '04Published on: 04 Aug '04Published in: Mathematics - Quantum Algebra



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.