Lectures on geometric constructions of the irreducible representations of GL_n
Abstract
We give an exposition of three geometric constructions of the irreducible representations of GL_n. In particular, we discuss BorelWeil theory, the Ginzburg construction, and the geometric Satake construction. We also explain how to deduce the Ginzburg construction from the geometric Satake equivalence. These are lecture notes for a lecture series at the Summer School on geometric representation theory and extended affine Lie algebras held at University of Ottawa in June 2009.
 Publication:

arXiv eprints
 Pub Date:
 December 2009
 arXiv:
 arXiv:0912.0569
 Bibcode:
 2009arXiv0912.0569K
 Keywords:

 Mathematics  Representation Theory;
 Mathematics  Algebraic Geometry
 EPrint:
 17 pages