Representation Theory

Title: The basic theory of (Ug,K)-modules
Speaker: Professor Matthew Emerton
Speaker Info: Northwestern
Brief Description:
Special Note:

The notion of (Ug,K)-module was introduced by Harish-Chandra as an algebraic and Lie-theoretic tool that could be used to study infinite-dimensional representations of reductive groups. After explaining very briefly how (Ug,K)-modules arise (a point that will be dealt with more fully in a future lecture), I will discuss the basic algebraic properties of these objects. The main goal will be to explain what it means for a (Ug,K)-module to be admissible, and to give several useful equivalent characterisations of admissibility. In the course of doing this, I will state (but not prove!) the celebrated subrepresentation theorem of Casselman.
Date: Tuesday, January 29, 2002
Time: 2-4pm
Where: Lunt 101
Contact Person: Prof. Kari Vilonen
Contact email: vilonen@math.northwestern.edu
Contact Phone: 847-491-5557
Copyright © 1997-2024 Department of Mathematics, Northwestern University.