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Bücher Wissen & Bildung Englische Bücher Naturwissenschaft, Medizin, Informatik, Technik Mathematik Arithmetik & Algebra Tame Representations of Local Weil Groups and of Chain Groups of Local Principal Orders
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Tame Representations of Local Weil Groups and of Chain Groups of Local Principal Orders
Albrecht Fröhlich (Broschiert, Englisch)
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Beschreibung
We begin by making clear the meaning of the term "tame". The higher ramifi cation groups, on the one hand, and the one-units of chain groups, on the other, are to lie in the kernels of the respective representations considered. We shall establish a very natural and very well behaved relationship between representa tions of the two groups mentioned in the title, with all the right properties, and… in particular functorial under base change and essentially preserving root numbers. All this will be done in full generality for all principal orders. The formal setup for this also throws new light on the nature of Gauss sums and in particular leads to a canonical closed formula for tame Galois Gauss sums. In many ways the "tame" and the "wild" theory have distinct features and distinct points of interest. The "wild" theory is much harder and - as far as it goes at present - technically rather complicated. On the "tame" side, once we have developed a number of new ideas, we get a complete comprehensive theory, from which technical difficulties have disappeared, and which has a naturality, and perhaps elegance, which seems rather rare in this gen,eral area. Among the principal new concepts we are introducing are those of "similarity" of represen tations in both contexts and that of the Galois algebra of a principalorder., One might expect that this Galois algebra will ,also be of importance in the wild situation. 106,99 €
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Technische Daten
Erscheinungsdatum
13.03.1987
Sprache
Englisch
EAN
9783540173403
Herausgeber
Springer Berlin
Serien- oder Bandtitel
Sitzungsberichte der Heidelberger Akademie der Wissenschaften
Sonderedition
Nein
Autor
Albrecht Fröhlich
Seitenanzahl
100
Einbandart
Broschiert
Schlagwörter
Area, Canon, Natural, algebra, form, kernel, presentation, similarity
Thema-Inhalt
PBH - Zahlentheorie
Höhe
244 mm
Breite
17 cm
Transparenz & Sicherheit
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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