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Journal of Lie Theory 15 (2005), No. 2, 575--588
Copyright Heldermann Verlag 2005

On Embedding of Lie Conformal Algebras into Associative Conformal Algebras

Michael Roitman
Dept. of Mathematics, University of Illinois, 1409 W. Green Street, Urbana, IL 61801, U.S.A.

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: Conformal Lie algebra, enveloping algebras, Ado theorem.

MSC: 17B69; 17B30, 17B35

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