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

Published 26 Oct 2021 in math.RA, math-ph, and math.MP | (2110.13364v1)

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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