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Communications in Algebra
Article
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arXiv.org e-Print Archive
Preprint . 2015
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Communications in Algebra
Article . 2016 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2015
License: arXiv Non-Exclusive Distribution
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https://dx.doi.org/10.1080/009...
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Simplicity of quadratic Lie conformal algebras

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 11 Oct 2016Embargo end date: 01 Jan 2015 English Publisher:Informa UK LimitedJournal:Communications in Algebra, volume 45, pages 141-150 (issn: 0092-7872, eissn: 1532-4125, Copyright policy )
Authors: Hong, Yanyong; Wu, Zhixiang;

doi: 10.1080/00927872.2016.1175466 , 10.48550/arxiv.1505.03312

arXiv: 1505.03312

Simplicity of quadratic Lie conformal algebras

Abstract

In this paper, simplicity of quadratic Lie conformal algebras are investigated. From the point view of the corresponding Gel'fand-Dorfman bialgebras, some sufficient conditions and necessary conditions to ensure simplicity of quadratic Lie conformal algebras are presented. By these observations, we present several classes of new infinite simple Lie conformal algebras. These results will be useful for classification purposes.

11 pages

Related Organizations
Keywords

Rings and Algebras (math.RA), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), FOS: Physical sciences, Mathematics - Rings and Algebras, Mathematical Physics (math-ph), Mathematical Physics, 17B20, 17B65, 17B68, 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!
12
Top 10%
Top 10%
Average
Green
bronze