On embedding of Lie conformal algebras into associative conformal algebras

Details On embedding of Lie conformal algebras into associative conformal algebras On embedding of Lie conformal algebras into associative conformal algebras

2004-04-28

arxiv.org/abs/math/0404507v2

Mathematics

Quantum Algebra

Scientific paper

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.

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