Report Title
: An analog of Drinfeld double for Rota-Baxter algebras
Speaker: Maxim Goncharov
Affiliation: Sobolev Institute of Mathematics
Report Time: 14:00–16:30, November 20
Venue: The Sixth Seminar Room, Mathematics Building, Jilin University
Abstract:
Given an algebra equipped with a Rota-Baxter operator (of arbitrary weight), we construct a double structure that generalizes the Drinfeld double construction for Lie bialgebras. We prove that numerous classical properties of Rota-Baxter algebras can be directly derived as simple corollaries of this construction. Additionally, we will discuss potential generalizations of the weight concept for Rota-Baxter operators.
Speaker Biography: Maxim Goncharov, Ph.D., Senior Research Fellow at the Sobolev Institute of Mathematics, and Associate Professor at Novosibirsk State University.
