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arXiv · 2208.12901

Deformations and homotopy of Rota-Baxter operators and $\mathcal{O}$-operators on Lie algebras

Rong Tang·Chengming Bai·Li Guo·Yunhe Sheng
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Abstract

This article gives a brief introduction to some recent work on deformation and homotopy theories of Rota-Baxter operators and more generally $\mathcal{O}$-operators on Lie algebras, by means of the differential graded Lie algebra approach. It is further shown that these theories lift the existing connection between $\mathcal{O}$-operators and pre-Lie algebras to the levels of deformations and homotopy.

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Rong Tang, Chengming Bai, Li Guo, Yunhe Sheng. 2022-08-27. Deformations and homotopy of Rota-Baxter operators and $\mathcal{O}$-operators on Lie algebras. https://doi.org/10.1134/s1063779620040620

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