Multiplicities of Galois representations of weight one

Gabor Wiese

doi:10.2140/ant.2007.1.67

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Home > Journals > Algebra Number Theory > Volume 1 > Issue 1 > Article

2007 Multiplicities of Galois representations of weight one

Gabor Wiese

Algebra Number Theory 1(1): 67-85 (2007). DOI: 10.2140/ant.2007.1.67

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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 $1$ .

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Gabor Wiese. "Multiplicities of Galois representations of weight one." Algebra Number Theory 1 (1) 67 - 85, 2007. https://doi.org/10.2140/ant.2007.1.67