The Homology and Higher Representations of the Automorphism Group of a Riemann Surface
The representations of the automorphism group of a compact Riemann surface on the first homology group and the spaces of q-differentials are decomposed into irreducibles. As an application it is shown that M24 is not a Hurwitz group.
Broughton, S.A. (1987). The homology and higher representations of the automorphism group of a Riemann surface. In Transactions of the American Mathemathical Society, 300(1), 153-158.