School Seminars and Colloquia

The structure of highest weight representations

Algebra/Geometry/Topology Seminar

by Rahbar Virk

Institution: U. Wisconsin
Date: Thu 10th December 2009
Time: 2:15 PM
Location: 213 Richard Berry

Abstract: will give an introduction to the representation theory of highest weight modules of a simple Lie algebra over the complex numbers. Several classical tools in the theory, such as the Harish-Chandra isomorphism, category O, BGG-reciprocity and Jantzen's translation principle, will be highlighted. Time permitting, I will explain how working with derived categories leads naturally to the appearance of the braid group which in turn further elucidates many aspects of the theory. Throughout, I will emphasize the examples of sl_2 and sl_3.

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