Vol. 1, No. 1, 2007
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Multiplicities of Galois representations of weight one

Gabor Wiese with an appendix by Niko Naumann

Abstract

We consider mod p modular Galois representations which are unramified at p such that the Frobenius element at p acts through a scalar matrix. The principal result states that the multiplicity of any such representation is bigger than 1.
Keywords

Galois representations, multiplicities, modular forms, Hecke algebras

Mathematical Subject Classification

Primary: 11F80

Secondary: 11F33, 11F25
Authors
Gabor Wiese
Universität Duisburg-Essen
Institut für Experimentelle Mathematik
Ellernstraße 29
D-45326 Essen
Germany
Niko Naumann
NWF I - Mathematik
Universität Regensburg
D-93040 Regensburg
Germany