Representations of monoids arising from

finite groups of Lie type

Author:
A. Salwa

Journal:
Trans. Amer. Math. Soc. **348** (1996), 2931-2945

MSC (1991):
Primary 20M30, 20M25

DOI:
https://doi.org/10.1090/S0002-9947-96-01621-2

MathSciNet review:
1351495

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Abstract | References | Similar Articles | Additional Information

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 .

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Additional Information

**A. Salwa**

Affiliation:
Institute of Mathematics, University of Warsaw, Banacha 2,02-097 Warsaw, Poland

Email:
asalwa@mimuw.edu.pl

DOI:
https://doi.org/10.1090/S0002-9947-96-01621-2

Received by editor(s):
February 3, 1995

Received by editor(s) in revised form:
September 18, 1995

Additional Notes:
Supported by KBN research grant 2 P301 051 06.

Article copyright:
© Copyright 1996
American Mathematical Society