Centers of invariant differential operator algebras for Jacobi groups | Department of Mathematics

Centers of invariant differential operator algebras for Jacobi groups

Event Information
Event Location: 
GAB 461
Event Date: 
Friday, November 30, 2012 - 1:00pm

Abstract:

The center of universal enveloping algebra of the Jacobi Lie algebra maps to the center of invariant differential operator algebra of (k,L) slash action of the Jacobi group on H x CN . Does the image of the center of universal enveloping algebra generate the center of IDO algebra? We will discuss the answer in case the rank N = 1 (and if time permits the
case N = 2).