Seminar talk, 20 November 2024, 16:00: Difference between revisions
Jump to navigation
Jump to search
Created page with "{{Talk | speaker = Yasushi Ikeda | title = Quantum argument shifts in general linear Lie algebras | abstract = Argument shift algebras in <math>S(g)</math> (where <math>g</math> 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 <math>U(gl_d)</math> proposed by Gurevich, Pyatov, and Saponov, I and Georgy Sharygin..." |
m Verbovet moved page Seminar talk, 20 November 2024 to Seminar talk, 20 November 2024, 16:00 without leaving a redirect |
(No difference)
| |
Revision as of 16:59, 12 November 2024
Speaker: Yasushi Ikeda
Title: Quantum argument shifts in general linear Lie algebras
Abstract:
Argument shift algebras in (where 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 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 . 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.
