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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 $M$ constructed from a group $G$ of Lie type is considered. We describe the irreducible complex representations and prove the complete reducibility of the representations of $M$. The sandwich matrix of $M$ is decomposed into a product of matrices corresponding to maximal parabolic subgroups of $G$.

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