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On a Class of Infinite Simple Lie Conformal Algebras

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 27 Mar 2021Embargo end date: 01 Jan 2019 English Publisher:Springer Science and Business Media LLCJournal:Algebras and Representation Theory, volume 25, pages 801-822 (issn: 1386-923X, eissn: 1572-9079,

Authors: Haibo Chen; Yanyong Hong; Yang Pan;

doi: 10.1007/s10468-021-10047-9 , 10.48550/arxiv.1906.12107

arXiv: http://arxiv.org/abs/1906.12107

On a Class of Infinite Simple Lie Conformal Algebras

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Abstract

In this paper, we study a class of infinite simple Lie conformal algebras associated to a class of generalized Block type Lie algebras. The central extensions, conformal derivations and free intermediate series modules of this class of Lie conformal algebras are determined. Moreover, we also show that these Lie conformal algebras do not have any non-trivial finite conformal modules. Consequently, these Lie conformal algebras cannot be embedded into $gc_N$ for any positive integer $N$.

20 pages

Related Organizations

Hefei University
China (People's Republic of)
Hangzhou Normal University
China (People's Republic of)
Shanghai Lixin University of Accounting and Finance
China (People's Republic of)
Hangzhou Normal University
China (People's Republic of)

Keywords

FOS: Mathematics, Representation Theory (math.RT), Mathematics - Representation Theory

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