Brackets with (τ, σ )-derivations and (p, q)-deformations of Witt and Virasoro algebras

Reference : Brackets with (τ, σ )-derivations and (p, q)-deformations of Witt and Virasoro algebras


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/25560

Title :	Brackets with (τ, σ )-derivations and (p, q)-deformations of Witt and Virasoro algebras
Language :	English
Author, co-author :	Elchinger, Olivier [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
	Lundengård, Karl []
	Mahklouf, Abdenacer []
	Silvestrov, Sergei []
Publication date :	Jul-2015
Journal title :	Forum Mathematicum
Peer reviewed :	Yes (verified by ORBi^lu)
Audience :	International
ISSN :	0933-7741
e-ISSN :	1435-5337
Keywords :	[en] (τ, σ )-derivation ; quasi-Lie algebra ; Hom-Lie algebra ; (p, q)-deformation ; Witt algebra ; Virasoro algebra ; sl(2) algebra
Abstract :	[en] The aim of this paper is to study some brackets defined on (τ, σ )-derivations sat- isfying quasi-Lie identities. Moreover, we provide examples of (p, q)-deformations of Witt and Virasoro algebras as well as sl(2) algebra. These constructions gen- eralize the results obtained by Hartwig, Larsson and Silvestrov on σ -derivations, arising in connection with discretizations and deformations of algebras of vector fields.
Permalink :	http://hdl.handle.net/10993/25560
DOI :	10.1515/forum-2014-0132

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