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.

20 pages

References in corpus (1)

• L-infinity algebra actions

Cited by in corpus (1)

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