The homology and higher representations of the automorphism group of a Riemann surface

Author:

Broughton S. A.

Abstract

The representations of the automorphism group of a compact Riemann surface on the first homology group and the spaces of q q -differentials are decomposed into irreducibles. As an application it is shown that M 24 {M_{24}} is not a Hurwitz group.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference8 articles.

1. Graduate Texts in Mathematics;Farkas, H. M.,1992

2. On branch loci in Teichmüller space;Harvey, W. J.;Trans. Amer. Math. Soc.,1971

3. Pure and Applied Mathematics, No. 69;Isaacs, I. Martin,1976

4. Invariant quadratic differentials;Lewittes, Joseph;Bull. Amer. Math. Soc.,1962

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