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

• Datum: 2025
• 1. Verfasser: Attan, Sylvain
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2025
• Schlagworte: Hom-Leibniz Poisson algebra; matched pair; relative Rota-Baxter operator; Nijenhuis operator; 17A30; 17A32; 17B10; 17B63; 17B99
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2305
• Назва журналу: Algebra and Discrete Mathematics

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 vari...