Complex representations of matrix semigroups
نویسندگان
چکیده
منابع مشابه
Complex Representations of Matrix Semigroups
Let M be a finite monoid of Lie type (these are the finite analogues of linear algebraic monoids) with group of units G . The multiplicative semigroup ^AfF), where F is a finite field, is a particular example. Using HarishChandra's theory of cuspidal representations of finite groups of Lie type, we show that every complex representation of M is completely reducible. Using this we characterize t...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1991
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-1991-1020044-8