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Preprint . 2004
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https://dx.doi.org/10.48550/ar...
Article . 2004
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On embedding of Lie conformal algebras into associative conformal algebras

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2004Embargo end date: 01 Jan 2004Publisher:arXiv
Authors: Roitman, Michael;

doi: 10.48550/arxiv.math/0404507

arXiv: math/0404507

On embedding of Lie conformal algebras into associative conformal algebras

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, Virasoro and related algebras, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), enveloping algebras, Ado theorem., 17B69

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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