Kathy Dexter : Irreducible Representations of GL(n) over a Finite Field

Posted by , part of the Graduate Number Theory Seminar.

At

Feb. 24, 2010, 3 p.m.

In

SEO 427

Abstract

Following a brief introduction to representation theory, I will present Gel'fand and Graev's proof that an irreducible representation of GL(n) over a finite field is contained in a certain representation with multiplicity not greater than one. I will then discuss the generalizations of this result to local and global fields.