CU Algebraic Lie Theory Seminar

CU Algebraic Lie Theory Seminar
Supercharacter Theories of Unipotent Groups Scott Andrews, CU
November 13, 2012 Math 350 2-3pm	Abstract Classifying the irreducible characters of the group of unipotent upper triangular matrices over a finite field is a provably difficult problem. We can instead consider a coarsening of the usual character theory, which we will refer to as a supercharacter theory. I will construct a supercharacter theory of the group of unipotent upper triangular matrices and look at analogous constructions in other types.

Supercharacter Theories of Unipotent Groups

Scott Andrews, CU

November 13, 2012

Math 350

2-3pm

Abstract

Classifying the irreducible characters of the group of unipotent upper triangular matrices over a finite field is a provably difficult problem. We can instead consider a coarsening of the usual character theory, which we will refer to as a supercharacter theory. I will construct a supercharacter theory of the group of unipotent upper triangular matrices and look at analogous constructions in other types.