Resumen de Irreducible constituents of monomial representations

Andrea Previtali

• Abstract We describe an algorithm for obtaining the central primitive idempotents of the algebra associated with a monomial representation. As a consequence, we obtain its irreducible constituents. This is implemented in Magma, using an algorithm based on Dixon¿s modular approach. In the case of permutation representations, we get a simplified version of the algorithms of Michler and Weller.