Harish-Chandra theorems

Seminar
Speaker
Shifra Reif (Bar-Ilan University)
Date
11/12/2024 - 11:30 - 10:30Add to Calendar 2024-12-11 10:30:00 2024-12-11 11:30:00 Harish-Chandra theorems The classical Harish-Chandra Theorem states that the center of the universal enveloping algebra of a semisimple Lie algebra is isomorphic to the algebra of polynomials over the Cartan subalgebra which are invariant under the (shifted) action of the Weyl group. We shall recall this theorem and discuss generalizations to symmetric (super)spaces. Joint work with Siddhartha Sahi, Vera Serganova and Alexander Sherman. Third floor seminar room and Zoom אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
Third floor seminar room and Zoom
Abstract

The classical Harish-Chandra Theorem states that the center of the universal enveloping algebra of a semisimple Lie algebra is isomorphic to the algebra of polynomials over the Cartan subalgebra which are invariant under the (shifted) action of the Weyl group. We shall recall this theorem and discuss generalizations to symmetric (super)spaces.

Joint work with Siddhartha Sahi, Vera Serganova and Alexander Sherman.

Last Updated Date : 27/11/2024