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arXiv · 2207.06859

Deformations and Cohomology Theory of Rota-Baxter Systems

Yuming Liu·Kai Wang·Liwen Yin
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Abstract

Inspired by the work of Wang and Zhou [4] for Rota-Baxter algebras, we develop a cohomology theory of Rota-Baxter systems and justify it by interpreting the lower degree cohomology groups as formal deformations and as abelian extensions of Rota-Baxter systems. A further study on an $L_\infty$-algebra structure associated to this cohomology theory will be given in a subsequent paper.

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Yuming Liu, Kai Wang, Liwen Yin. 2022-07-14. Deformations and Cohomology Theory of Rota-Baxter Systems. https://arxiv.org/abs/2207.06859

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