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

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Abstract

In this paper, first, we introduce a notion of modified Rota-Baxter Lie algebras of weight 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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Basdouri et al. (Tue,) studied this question.

synapsesocial.com/papers/68e747e6b6db6435876c0dc9 https://doi.org/https://doi.org/10.48550/arxiv.2403.08095

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