Keywords :
(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.
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