The weight in a Serre-type conjecture for tame $n$-dimensional Galois representations
Florian Herzig
Source: Duke Math. J. Volume 149, Number 1 (2009), 37-116.
Abstract
We formulate a Serre-type conjecture for $n$-dimensional Galois representations that are tamely ramified at $p$. The weights are predicted using a representation-theoretic recipe. For $n = 3$, some of these weights were not predicted by the previous conjecture of Ash, Doud, Pollack, and Sinnott. Computational evidence for these extra weights is provided by calculations of Doud and Pollack. We obtain theoretical evidence for $n = 4$ by using automorphic inductions of Hecke characters
Primary Subjects: 11F80, 11F75
Secondary Subjects: 20C33
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1246453789
Digital Object Identifier: doi:10.1215/00127094-2009-036
Zentralblatt MATH identifier:
05588172
Mathematical Reviews number (MathSciNet):
MR2541127
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