Twisted relative Rota-Baxter operators and their relation with Hopf trusses

Abstract: In this talk we are going to introduce the category of twisted relative Rota-Baxter operators in a braided monoidal setting together with a procedure for constructing examples of such structures based on idempotent Hopf algebra morphisms, and also we are going to prove that, under certain conditions, the following results hold: There exists an adjoint pair of functors between the category of Hopf trusses and the category of twisted relative Rota-Baxter operators. The previous adjunction induces a categorical equivalence between the category of Hopf trusses and the subcategory of invertible twisted relative Rota-Baxter operators.

quantum algebrarings and algebras

Audience: researchers in the topic

European Non-Associative Algebra Seminar