Speaker: Yasushi Ikeda (Lomonosov Moscow State University)

Title: Quantum argument shifts in general linear Lie algebras

Date and time:  16.10.2024, 17:00 (GMT +03:00)

Abstract: Argument shift algebras in S(g) (where g is a Lie algebra) are Poisson commutative subalgebras (with respect to the Lie-Poisson bracket), generated by iterated argument shifts of Poisson central elements. Inspired by the quantum partial derivatives on U(gl_d) proposed by Gurevich, Pyatov, and Saponov, I and Georgy Sharygin showed that the quantum argument shift algebras are generated by iterated quantum argument shifts of central elements in U(gl_d). In this talk, I will introduce a formula for calculating iterated quantum argument shifts and generators of the quantum argument shift algebras up to the second order, recalling the main theorem.

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