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Rota-Baxter family $Ω$-associative conformal algebras and their cohomology theory (2212.12299v2)

Published 7 Oct 2022 in math.RA

Abstract: In this paper, we first propose the concept of Rota-Baxter family $\Omega$-associative conformal algebras, then we study the cohomology theory of Rota-Baxter family $\Omega$-associative conformal algebras of any weight and justify it by interpreting the lower degree cohomology groups as formal deformations.

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