Type: Seminar

Distribution: World

Expiry: 9 May 2024

CalTitle1: Algebra Seminar: Harish-Chandra images of quantum Gelfand invariants

Auth: alexs@desktop-h8gjltm.staff.wireless.sydney.edu.au (ashe8718) in SMS-SAML

Alexander Molev (University of Sydney) is speaking in the Algebra Seminar next week. We will go out for lunch after the talk. When: Friday 22 March, 12-1pm Where: Carslaw 175 Title: Harish-Chandra images of quantum Gelfand invariants Abstract: By a landmark work of Reshetikhin, Takhtajan and Faddeev (1989), the quantized enveloping algebras contain families of central elements analogous to the Gelfand invariants. The eigenvalues of the Gelfand invariants in irreducible highest weight modules are known since 1966, but the problem of finding their quantum analogues has remained open. We give a solution for type A by using a Liouville formula for the associated quantum affine algebra relating two families of central elements. This is a joint work with Naihuan Jing and Ming Liu.