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arXiv · 1006.2499

Deformations of Hom-Alternative and Hom-Malcev algebras

Mohamed Elhamdadi·Abdenacer Makhlouf
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Abstract

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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Mohamed Elhamdadi, Abdenacer Makhlouf. 2010-06-12. Deformations of Hom-Alternative and Hom-Malcev algebras. https://arxiv.org/abs/1006.2499

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