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arXiv · 2403.08095

Cohomologies of modified Rota-Baxter Lie algebras with derivations and applications

Imed Basdouri·Sami Benabdelhafidh·Mohamed Amin Sadraoui
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Abstract

In this paper, first, we introduce a notion of modified Rota-Baxter Lie algebras of weight $\mathrm{\lambda}$ with derivations (or simply modified Rota-Baxter LieDer pairs) and their representations. Moreover, we investigate cohomologies of a modified Rota-Baxter LieDer pairs with coefficients in a suitable representation. As applications, we study formal one-parameter deformations and abelian extensions of modified Rota-Baxter LieDer pairs.

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Imed Basdouri, Sami Benabdelhafidh, Mohamed Amin Sadraoui. 2024-03-12. Cohomologies of modified Rota-Baxter Lie algebras with derivations and applications. https://arxiv.org/abs/2403.08095

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