The weight in a Serre-type conjecture for tame $n$ -dimensional Galois representations
Herzig, Florian
Duke Math. J., Tome 146 (2009) no. 1, p. 37-116 / Harvested from Project Euclid
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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
Publié le : 2009-07-15
Classification:  11F80,  11F75,  20C33 
@article{1246453789,
     author = {Herzig, Florian},
     title = {The weight in a Serre-type conjecture for tame $n$ -dimensional Galois representations},
     journal = {Duke Math. J.},
     volume = {146},
     number = {1},
     year = {2009},
     pages = { 37-116},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1246453789}
}

Herzig, Florian. The weight in a Serre-type conjecture for tame $n$ -dimensional Galois representations. Duke Math. J., Tome 146 (2009) no. 1, pp.  37-116. http://gdmltest.u-ga.fr/item/1246453789/