CU Algebraic Lie Theory Seminar

CU Algebraic Lie Theory Seminar
The Steinberg Complex of an Arbitrary Finite Group Daniel Swenson, Black Hills State
October 12, 2010 Math 220 2-3pm	Abstract The Steinberg Complex is a generalization, to the case of an arbitrary finite group G, of the Steinberg Representation of a finite group of Lie type. It is defined in terms of the conjugation action of G on its poset of p-subgroups (analogous to the building in the classical case). I will describe the Steinberg Complex and what is known about it in the general case, and I will indicate some directions for further research.

The Steinberg Complex of an Arbitrary Finite Group

Daniel Swenson, Black Hills State

October 12, 2010

Math 220

2-3pm

Abstract

The Steinberg Complex is a generalization, to the case of an arbitrary finite group G, of the Steinberg Representation of a finite group of Lie type. It is defined in terms of the conjugation action of G on its poset of p-subgroups (analogous to the building in the classical case). I will describe the Steinberg Complex and what is known about it in the general case, and I will indicate some directions for further research.