Journal of Lie Theory
Vol. 15, No. 2, pp. 575–588 (2005)
On Embedding of Lie Conformal Algebras into Associative Conformal Algebras
Michael RoitmanMichael Roitman
Department of Mathematics
University of Illinois
1409 W. Green St.
Urbana, IL 61801, USA
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: conformal Lie algebra, enveloping algebras, Ado theorem
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