CU Algebraic Lie Theory Seminar

CU Algebraic Lie Theory Seminar
Generalized Gelfand-Graev Representations Scott Andrews, CU
November 15, 2011 Math 350 2-3pm	Abstract A Gelfand--Graev representation of a finite reductive group G is obtained by inducing from a certain representation of a maximal unipotent subgroup of G. Gelfand--Graev representations can be used to classify certain irreducible representations of G. By considering other unipotent subgroups of G, we can recover more irreducible representations of G. I will construct a generalization of the Gelfand--Graev representation and look at some applications.

Generalized Gelfand-Graev Representations

Scott Andrews, CU

November 15, 2011

Math 350

2-3pm

Abstract

A Gelfand--Graev representation of a finite reductive group G is obtained by inducing from a certain representation of a maximal unipotent subgroup of G. Gelfand--Graev representations can be used to classify certain irreducible representations of G. By considering other unipotent subgroups of G, we can recover more irreducible representations of G. I will construct a generalization of the Gelfand--Graev representation and look at some applications.