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Matrix representations of semigroups

Published online by Cambridge University Press:  18 May 2009

D. B. McAlister
D. B. McAlister
Affiliation:
Department of Pure MathematicsQueen's UniversityBelfast
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In a series of papers [6], [7], [8], [10], Munn has considered the problem of constructing all irreducible representations of a semigroup by matrices over a field. In [10], he showed how to construct all the irreducible representations of an arbitrary inverse semigroup from those of associated Brandt semigroups. In this paper, we generalize the method of [10] to give a construction for the irreducible representations of an arbitrary semigroup from those of certain associated semigroups

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 8 , Issue 1 , January 1967 , pp. 1 - 13
Copyright
Copyright © Glasgow Mathematical Journal Trust 1967

References

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