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

Sylvain Attan

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.

Keywords


Hom-Leibniz Poisson algebra, matched pair, relative Rota-Baxter operator, Nijenhuis operator

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DOI: http://dx.doi.org/10.12958/adm2305

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