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 ![]() | |
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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