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Semigroups and weights for group representations |
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| Authors: | Mohan S. Putcha |
| Affiliation: | Department of Mathematics, North Carolina State University, Raleigh, North Carolina 27695-8205 |
| Abstract: | Let |
| Keywords: | |
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be a finite group. Consider a pair 
of linear characters of subgroups 
of 
with 
and 
agreeing on 
. Naturally associated with 
is a finite monoid 
. Semigroup representation theory then yields a representation 
of 
. If 
is irreducible, we say that 
is a weight for 
. When the underlying field is the field of complex numbers, we obtain a formula for the character of 
in terms of 
and 
. We go on to construct weights for some familiar group representations.