Notes on Formal Deformations of Hom-associative and Hom-Lie Algebras

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dc.creatorMakhlouf, Abdenacer
dc.creatorSilvestrov, Sergei
dc.date2007-12-19
dc.date.accessioned2026-07-07T08:50:18Z
dc.date.available2026-07-07T08:50:18Z
dc.descriptionThe aim of this paper is to extend to Hom-algebra structures the theory of formal deformations of algebras which was introduced by Gerstenhaber for associative algebras and extended to Lie algebras by Nijenhuis-Richardson. We deal with Hom-associative and Hom-Lie algebras. We construct the first groups of a deformation cohomology and give several examples of deformations. We provide families of Hom-Lie algebras deforming Lie algebra $sl_2$ and describe as formal deformations the q-deformed Witt algebra and Jackson $sl_2$.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0712.3130
dc.identifierhttp://arxiv.org/abs/0712.3130
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144562
dc.subjectRings and Algebras
dc.subjectQuantum Algebra
dc.subject16S80,16E40,17B37,17B68
dc.titleNotes on Formal Deformations of Hom-associative and Hom-Lie Algebras
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