Rota–Baxter family Ω-associative conformal algebras and their cohomology theory.

In this paper, we first propose the concept of Rota–Baxter family Ω-associative conformal algebras, then we study the cohomology theory of Rota–Baxter family Ω-associative conformal algebras of any weight and justify it by interpreting the lower degree cohomology groups as formal deformations. [ABSTRACT FROM AUTHOR]