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On embedding of Lie conformal algebras into associative conformal algebras. (English) Zbl 1133.17015

Summary: 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.

MSC:

17B68 Virasoro and related algebras
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