Homotopy relative Rota-Baxter Lie algebras, triangular $L_{\infty }$-bialgebras and higher derived brackets

Abstract

We describe $L_{\infty }$-algebras governing homotopy relative Rota-Baxter Lie algebras and triangular $L_{\infty }$-bialgebras, and establish a map between them. Our formulas are based on a functorial approach to Voronov's higher derived brackets construction which is of independent interest.

arXiv comment20 pages

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Cited by in corpus (1)

• Deformations and homotopy theory of Rota-Baxter algebras of any weight