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arXiv · 2110.13364

Classification, centroids and derivations of two-dimensional Hom-Leibniz algebras

Anja Arfa·Nejib Saadaoui·Sergei Silvestrov
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Abstract

Several recent results concerning Hom-Leibniz algebra are reviewed, the notion of symmetric Hom-Leibniz superalgebra is introduced and some properties are obtained. Classification of 2-dimensional Hom-Leibniz algebras is provided. Centroids and derivations of multiplicative Hom-Leibniz algebras are considered including the detailed study of 2-dimensional Hom-Leibniz algebras.

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Anja Arfa, Nejib Saadaoui, Sergei Silvestrov. 2021-10-26. Classification, centroids and derivations of two-dimensional Hom-Leibniz algebras. https://arxiv.org/abs/2110.13364

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