Algebra Seminar: Alexander Molev -- Harish-Chandra images of quantum Gelfand invariants

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.