Representations of monoids arising from finite groups of Lie type
Authors:
A. Salwa
Affiliation:
Institute of Mathematics, University of Warsaw, Banacha 2,02-097 Warsaw, Poland
Abstract:
A class of finite monoids constructed from a group of Lie type is considered. We describe the irreducible complex representations and prove the complete reducibility of the representations of . The sandwich matrix of is decomposed into a product of matrices corresponding to maximal parabolic subgroups of .