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

2021/05/13 by Sylvain Attan, Attan, Sylvain
Computer Science · Mathematics · #17A30 #17A32 #17B10 #17B63 #17B99 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Matrix Theory and Algorithms #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2105.06310

openalex publication_date 2021/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Non-commutative Hom-Poisson algebras
• Universal enveloping algebras of Leibniz algebras and (co)homology

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