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arXiv · 2109.01972

Cohomology of weighted Rota-Baxter Lie algebras and Rota-Baxter paired operators

Apurba Das
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Abstract

In this paper, we define representations and cohomology of weighted Rota-Baxter Lie algebras. As applications of cohomology, we study abelian extensions and formal $1$-parameter deformations weighted Rota-Baxter Lie algebras. Finally, we consider weighted Rota-Baxter paired operators that induces a weighted Rota-Baxter Lie algebra and a representation of it. We define suitable cohomology for such paired operators that govern deformation.

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BibTeXRIS

Apurba Das. 2021-09-05. Cohomology of weighted Rota-Baxter Lie algebras and Rota-Baxter paired operators. https://arxiv.org/abs/2109.01972

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