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arXiv · 2108.01333

Rota-Baxter operators and related structures on anti-flexible algebras

Shuangjian Guo·Ripan Saha
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Abstract

In this paper, we first construct a graded Lie algebra which characterizes Rota-Baxter operators on an anti-flexible algebra as Maurer-Cartan elements. Next, we study infinitesimal deformations of bimodules over anti-flexible algebras. We also consider compatible Rota-Baxter operators on bimodules over anti-flexible algebras. Finally, We define $\mathcal{ON}$-structures which give rise to compatible Rota-Baxter operators and vice-versa.

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Shuangjian Guo, Ripan Saha. 2021-08-03. Rota-Baxter operators and related structures on anti-flexible algebras. https://arxiv.org/abs/2108.01333

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