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Deformations and Cohomology Theory of Rota-Baxter Systems

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.

preprint2022arXivOpen access
Yuming LiuKai WangLiwen Yin
math.RA
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Yuming LiuKai WangLiwen Yin

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