Basic representations of arbitrary semigroups
D. B. McAlister · Transactions of the American Mathematical Society · 1969
In a series of papers, [9], [10], [11], [13], W. D. Munn has considered the problem of constructing all irreducible representations of a semigroup by matrices over a field.In [13] he has shown that the irreducible representations of an inverse semigroup are determined by irreducible representations of Brandt semigroups in the following manner.For any 0-restricted irreducible representation T of a semigroup