论文标题

同型相对rota-baxter lie代数,三角形$ l_ \ infty $ -bialgebras和较高的衍生支架

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

论文作者

Lazarev, Andrey, Sheng, Yunhe, Tang, Rong

论文摘要

我们描述了$ l_ \ infty $ -algebras统治同型相对rota-baxter lie代数和三角形$ l_ \ infty $ bialgebras,并在它们之间建立一张地图。我们的公式是基于一种具有独立感兴趣的Voronov较高衍生支架结构的功能性方法。

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.

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