Speaker: Georgy Sharygin (MSU, ITEP, MIPT)

Date and time:  12.04.2023, 17:00 (GMT +03:00)

Title: Quasi-derivations of Ugl_n and the quantum argument shift method

Abstract: In my talk I will tell, how one can use the "quasi-derivations" to partially transfer the "argument shift method" (a method used to obtain commutative subalgebras in Poisson algebras) to the universal enveloping algebra Ugl_n. "Quasi-derivations" of Ugl_n, is a set of linear operators on Ugl_n, constructed earlier by Gurevich, Pyatov and Saponov with the help of reflection equation algebra; they also have many other definitions. I will speak about the properties of these operators and then show that the iterations of these operators on the generators of the center of Ugl_n commute with each other.

To access the online seminar please contact  Anna Tolbey bekvaanna@gmail.com