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Deformation theory and the controlling $L_{\infty}$-structure of extended Rota-Baxter algebras

Yang, Jian
arXiv (All) · Papers
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16e40representation-theoryrings-and-algebras
In this paper, we introduce the controlling $L_{\infty}[1]$-algebra of extended Rota-Baxter algebras. As applications, we obtain the cohomology of extended Rota-Baxter algebras and homotopy extended Rota-Baxter algebras. We also study abelian extensions and formal deformations by the lower cohomolog
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