Multiplicities of Galois representations of weight one (with an appendix by Niko Naumann)

2006/12/12 by Gabor Wiese, Niko Naumann, Wiese, Gabor +1
Mathematics · #11F25 (secondary) #11F33 #11F80 (primary) #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11F25 #msc:11F33 #msc:11F80

paper · pdf · doi:10.48550/arxiv.math/0612318

15 pages LaTeX

arxiv created 2006/12/12 · openalex publication_date 2006/12/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article 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.

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