On the local Artin conductor \(\mathfrak f_{\text{Artin}}(\chi)\) of a character \(\chi\) of \(\text{Gal}(E/K)\). II: Main results for the metabelian case
type: Item
instance of: scholarly article
title: On the local Artin conductor \(\mathfrak f_{\text{Artin}}(\chi)\) of a character \(\chi\) of \(\text{Gal}(E/K)\). II: Main results for the metabelian case
zbMATH Open document ID: 1129.11325
DOI: 10.1007/BF02829762
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 2004-02-11T00:00:00Z
review text: Let \(K\) be a local field and \(E/K\) a metabelian Galois extension with Galois group \(G\). Furthermore let \(A_G: G\to\text{GL}(V)\) be the Artin representation with character \(a_G\). The author computes the Artin conductor of an irreducible representation of \(G\). He uses this result to give an answer in the metabelian case to the old question of constructing \(A_G\) if \(a_G\) is given. Part I, cf. Turk. J. Math. 23, No. 4, 519--530 (1999; Zbl 1006.11067).
reviewed by: Helmut Koch
Mathematics Subject Classification ID: 11S37
Mathematics Subject Classification ID: 11S15
zbMATH DE Number: 2040287
author: Kazım İlhan İkeda
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2040287