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HOMOTOPY RELATIVE ROTA-BAXTER LIE ALGEBRAS, TRIANGULAR L-BIALGEBRAS AND HIGHER DERIVED BRACKETS

Transactions of the American Mathematical Society, ISSN: 1088-6850, Vol: 376, Issue: 4, Page: 2921-2945
2023
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Article Description

We describe L∞-algebras governing triangular L∞-bialgebras and homotopy relative Rota-Baxter Lie algebras 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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