Reference : Brackets with (τ, σ )-derivations and (p, q)-deformations of Witt and Virasoro algebras
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/25560
Brackets with (τ, σ )-derivations and (p, q)-deformations of Witt and Virasoro algebras
English
Elchinger, Olivier mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Lundengård, Karl []
Mahklouf, Abdenacer []
Silvestrov, Sergei []
Jul-2015
Forum Mathematicum
Yes (verified by ORBilu)
International
0933-7741
1435-5337
[en] (τ, σ )-derivation ; quasi-Lie algebra ; Hom-Lie algebra ; (p, q)-deformation ; Witt algebra ; Virasoro algebra ; sl(2) algebra
[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.
http://hdl.handle.net/10993/25560
10.1515/forum-2014-0132

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