论文信息 - Linear Representations of the Galois Group over Local Fields

Linear Representations of the Galois Group over Local Fields

Let F be a p-field, i.e. a complete discrete valuation field with a finite residue field of characteristic p, paig be an algebraic closure of F, ps•P be the separable closure of Fin Fa1g. Let G=Gal(P 1glF)=Gal(F""PjF). It is a profinite group with the Krull topology. For a profinite group H, let R(H) (resp. H) denote the set of the equivalence classes of the finite dimensional continuous (resp. irreducible) representations a over the complex number field. We are concerned with the classification or the parametrization of the set G.

H. Hijikata

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