Representations of monoids arising from finite groups of Lie type

Salwa, A.

doi:10.1090/S0002-9947-96-01621-2

Representations of monoids arising from finite groups of Lie type
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Trans. Amer. Math. Soc. 348 (1996), 2931-2945 Request permission

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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