Deformations of Hom-Alternative and Hom-Malcev algebras

Details Deformations of Hom-Alternative and Hom-Malcev algebras Deformations of Hom-Alternative and Hom-Malcev algebras

2010-06-12

arxiv.org/abs/1006.2499v1

Mathematics

Rings and Algebras

19 pages

Scientific paper

The aim of this paper is to extend Gerstenhaber formal deformations of algebras to the case of Hom-Alternative and Hom-Malcev algebras. We construct deformation cohomology groups in low dimensions. Using a composition construction, we give a procedure to provide deformations of alternative algebras (resp. Malcev algebras) into Hom-alternative algebras (resp. Hom-Malcev algebras). Then it is used to supply examples for which we compute some cohomology invariants.

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