
Journal of Lie Theory 15 (2005), No. 2, 575588 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. roitman@uiuc.edu 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 [ Fulltextpdf (249 KB)] for subscribers only. 