SEMINAR: Groups and Combinatorics Seminar: On parabolic triple factorisations of general linear groups

Groups and Combinatorics Seminar

S. Hassan Alavi will speak

On parabolic triple factorisations of general linear groups

at 1pm in Maths Lecture Room 1 on Tuesday 27th of October.

Abstract:

For a group G, an expression G = ABA, where A, B are subgroups of G, is called a triple factorisation of G and is denoted by T = (G, A,B). Such factorisations play a fundamental role as `Bruhat decompositions' in the theory of Lie type groups, and more generally in the study of groups with a (B,N)-pair. Therefore, the triple factorisations of G = GL(n, K) where K is a finite field are of our interest. In this talk we present some results about triple factorisations T = (G, A,B) of G = GL(n, K) where K is a finite field and both A and B are parabolic subgroups of G.

All welcome.