Brackets with \((\tau,\sigma)\)-derivations and \((p,q)\)-deformations of Witt and Virasoro algebras

DOI10.1515/forum-2014-0132zbMath1404.17034arXiv1403.6291OpenAlexW2119309878MaRDI QIDQ302308

Sergei D. Silvestrov, Olivier Elchinger, Karl Lundengård, Abdenacer Makhlouf

Publication date: 5 July 2016

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.6291

zbMATH Keywords

Witt algebraVirasoro algebra\((\tau,\sigma)\)-derivation\((p,q)\)-deformation\(\mathfrak{sl}\)(2) algebraHom-Lie algebraquasi-Lie algebra

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Nonassociative algebras satisfying other identities (17A30) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36)

Related Items (19)

On Hom-pre-Lie bialgebras ⋮ Color hom-Lie algebras, color hom-Leibniz algebras and color omni-hom-Lie algebras ⋮ On \((\sigma, \tau)\)-derivations of group algebra as category characters ⋮ Hom-prealternative superalgebras ⋮ On classification of \((n+1)\)-dimensional \(n\)-Hom-Lie algebras with nilpotent twisting maps ⋮ On classification of (\(n +1\))-dimensional \(n\)-Hom-Lie algebras for \(n =4,5,6\) and nilpotent twisting map with 2-dimensional kernel ⋮ On \((\lambda,\mu,\gamma)\)-derivations of BiHom-Lie algebras ⋮ HNN-extension of involutive multiplicative Hom-Lie algebras ⋮ 3-Hom-Lie algebras based on \(\sigma\)-derivation and involution ⋮ Divisibility in Hom-algebras, single-element properties in non-associative algebras and twisted derivations ⋮ On Lie-type constructions over twisted derivations ⋮ On ideals and derived and central descending series of \(n\)-ary Hom-algebras ⋮ Contributions to automatic continuity of \((\sigma , \tau ) \)-derivations on Banach algebras ⋮ Representations and cohomologies of regular Hom-pre-Lie algebras ⋮ On hom-Lie superalgebras ⋮ Purely Hom-Lie bialgebras ⋮ The twisted derivation problem for group rings ⋮ Generalized derivations and Rota-Baxter operators of \(n\)-ary Hom-Nambu superalgebras ⋮ On derivations in group algebras and other algebraic structures

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