Homotopy relative Rota-Baxter Lie algebras, triangular L∞-bialgebras and higher derived brackets
Abstract
We describe L∞-algebras governing homotopy relative Rota-Baxter Lie algebras and triangular L∞-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.
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