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See detailBrackets with (τ, σ )-derivations and (p, q)-deformations of Witt and Virasoro algebras
Elchinger, Olivier UL; Lundengård, Karl; Mahklouf, Abdenacer et al

in Forum Mathematicum (2015)

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 ... [more ▼]

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. [less ▲]

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