Ton That Tri

Abstract

     Let M_n=M(n,F_q) be the semigroup of all n x n matrices over the field F_q of q elements. By using Dickson's invariants we construct a complete set of qⁿ distinct irreducible F_q[M_n] modules, called H_β and give isomorphisms between them and the modules F^α which were constructed in [3] by the "Weyl module" construction.