BIMSA > BIMSA Integrable Systems Seminar Argument shift method for the universal enveloping algebras
Argument shift method for the universal enveloping algebras
Organizers
Nicolai Reshetikhin , Ivan Sechin , Andrey Tsiganov
Speaker
Georgy Sharygin
Time
Tuesday, October 31, 2023 4:00 PM - 5:00 PM
Venue
A6-101
Abstract
Argument shift method is a construction that produces a commutative subalgebra of a Poisson algebra by differentiating its central elements along a suitable vector field. An important particular case of this situation is when the Poisson algebra is equal to the space of (polynomial) functions on a dual space of a Lie algebra $g$. In my talk I will discuss an attempt to raise this procedure to the universal enveloping algebra of $g$. Based on a joint work with Y.Ikeda and A.Molev.