Multiplicities of Galois representations of weight one

Wiese, Gabor

doi:10.2140/ant.2007.1.67

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

ISSN 1944-7833 (online)

ISSN 1937-0652 (print)

Author index

To appear

Other MSP journals

Multiplicities of Galois representations of weight one

Gabor Wiese

Appendix: Niko Naumann

Vol. 1 (2007), No. 1, 67–85

DOI: 10.2140/ant.2007.1.67

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 2000

Primary: 11F80

Secondary: 11F33, 11F25

Milestones

Received: 29 January 2007

Revised: 15 June 2007

Accepted: 7 July 2007

Published: 1 February 2007

Authors

Gabor Wiese
Universität Duisburg-Essen Institut für Experimentelle Mathematik Ellernstraße 29 D-45326 Essen Germany
http://maths.pratum.net
Niko Naumann
NWF I - Mathematik Universität Regensburg D-93040 Regensburg Germany
http://homepages.uni-regensburg.de/~nan25776/

Vol. 1, No. 1, 2007