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Tame Representations of Local Weil Groups and of Chain Groups of Local Principal Orders: 1986 / 3 (Sitzungsber.Heidelberg 86) - Softcover
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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.
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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.
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Tame Representations of Local Weil Groups and of Chain Groups of Local Principal Orders
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Zustand: Good. Springer-Verlag, 1986. Cover faintly rubbed/bumped/soiled, front flap faintly creased at bottom edge/fore-edge, otherwise intact; edges faintly rubbed/bumped/soiled; first 5 pages faintly creased at bottom edge/fore-edge; binding tight; interior intact and exceptionally clean. paperback. Good. Bestandsnummer des Verkäufers 599874
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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
ISBN 10: 3540173404
ISBN 13: 9783540173403
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Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 104 pp. Englisch. Bestandsnummer des Verkäufers 9783540173403
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Tame Representations of Local Weil Groups and of Chain Groups of Local Principal Orders
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Bestandsnummer des Verkäufers 9783540173403
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Tame Representations of Local Weil Groups and of Chain Groups of Local Principal Orders
Verlag:
Springer Berlin Heidelberg Mrz 1987, 1987
ISBN 10: 3540173404
ISBN 13: 9783540173403
Neu
Taschenbuch
Anbieter: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Deutschland
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 104 pp. Englisch. Bestandsnummer des Verkäufers 9783540173403
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Tame Representations of Local Weil Groups and of Chain Groups of Local Principal Orders (Sitzungsber.Heidelberg 86)
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Tame Representations of Local Weil Groups and of Chain Groups of Local Principal Orders (Sitzungsber.Heidelberg 86)
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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
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Zustand: New. PRINT ON DEMAND pp. 104. Bestandsnummer des Verkäufers 1858596753
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Tame Representations of Local Weil Groups and of Chain Groups of Local Principal Orders
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Zustand: New. Print on Demand pp. 104 67:B&W 6.69 x 9.61 in or 244 x 170 mm (Pinched Crown) Perfect Bound on White w/Gloss Lam. Bestandsnummer des Verkäufers 50963012
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