NL Bialgebras: Structures, Hierarchies, and Applications in Integrable Systems

Abstract: In this talk, I will introduce the concept of NL bialgebras, an algebraic structure that combines a Lie bialgebra with a Nijenhuis operator on a Lie algebra. The compatibility between these two structures leads to a rich framework for studying deformations and hierarchies of Lie bialgebras. As an important application, I will show how the underlying algebraic framework of the Euler-top system can be represented as a weak NL bialgebra, highlighting the significance of these structures in the context of integrable systems.

quantum algebrarings and algebras

Audience: researchers in the topic

European Non-Associative Algebra Seminar