Cohomologies and deformations of weighted Rota-Baxter Lie algebras and associative algebras with derivations

Cohomologies and deformations of weighted Rota-Baxter Lie algebras and associative algebras with derivations

The purpose of the present paper is to investigate cohomologies and deformations of weighted Rota-Baxter Lie algebras as well as weighted Rota-Baxter associative algebras with derivations. First we introduce a notion of weighted Rota-Baxter LieDer and weighted Rota-Baxter AssDer pairs. Then we const...

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Bibliographic Details
Main Authors: Imed, Basdouri, Amin, Sadraoui Mohamed, Guo, Shuangjian
Format: Journal Article
Language:English
Published: 09-02-2024
Subjects:
Mathematics - Rings and Algebras
Online Access:Get full text
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Summary:The purpose of the present paper is to investigate cohomologies and deformations of weighted Rota-Baxter Lie algebras as well as weighted Rota-Baxter associative algebras with derivations. First we introduce a notion of weighted Rota-Baxter LieDer and weighted Rota-Baxter AssDer pairs. Then we construct cohomologies of weighted Rota-Baxter LieDer pairs, weighted Rota-Baxter AssDer pairs and we discuss the relation between their cohmologies. Finally, as an application, we study deformations of both of them.
DOI:10.48550/arxiv.2402.06272