Argument shift method for the universal enveloping algebras
Georgy Sharygin (Sino-Russian Mathematics Center, Moscow State University)
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
mathematical physicsdynamical systemsquantum algebrarepresentation theorysymplectic geometry
Audience: general audience
BIMSA Integrable Systems Seminar
Series comments: The aim is to bring together experts in integrable systems and related areas of theoretical and mathematical physics and mathematics. There will be research presentations and overview talks.
Audience: Graduate students and researchers interested in integrable systems and related mathematical structures, such as symplectic and Poisson geometry and representation theory.
The zoom link will be distributed by mail, so please join the mailing list if you are interested in attending the seminar.
| Organizers: | NiŃolai Reshetikhin, Andrii Liashyk, Ivan Sechin, Andrey Tsiganov* |
| *contact for this listing |