Representations and relative Rota-Baxter operators of Hom-Leibniz Poisson algebras

Sylvain Attan

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arXiv · 2105.06310

Representations and relative Rota-Baxter operators of Hom-Leibniz Poisson algebras

Sylvain Attan

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Abstract

Representations and relative Rota-Baxter operators with respect to representations of Hom-Leibniz Poisson algebras are introduced and studied. Some characterizations of these operators are obtained. The notion of matched pair and Nijenhuis operators of Hom-Leibniz Poisson algebras are given and various relevant constructions of these Hom-algebras are deduced.

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Sylvain Attan. 2021-05-13. Representations and relative Rota-Baxter operators of Hom-Leibniz Poisson algebras. https://arxiv.org/abs/2105.06310

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