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arXiv · 1905.13048

Generalized representations of 3-Hom-Lie algebras

Sami Mabrouk·Abdenacer Makhlouf·Sonia Massoud
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Abstract

The propose of this paper is to extend generalized representations of 3-Lie algebras to Hom-type algebras. We introduce the concept of generalized representation of multiplicative 3-Hom-Lie algebras, develop the corresponding cohomology theory and study semi-direct products. We provide a key construction, various examples and computation of 2-cocycles of the new cohomology. Also, we give a connection between a split abelian extension of a 3-Hom-Lie algebra and a generalized semidirect product 3-Hom-Lie algebra.

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BibTeXRIS

Sami Mabrouk, Abdenacer Makhlouf, Sonia Massoud. 2019-05-29. Generalized representations of 3-Hom-Lie algebras. https://arxiv.org/abs/1905.13048

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