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Repr sentations de weil et gl2 alg bres de division et gln


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Rubriek: Textual/Printed/Reference Materials - Boek
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Uiterlijk 31 januari in huis


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Omschrijving:

This monograph represents the first two parts of the author's research on the generalization of class field theory for the noncommutative case. Part I concentrates on the construction of all the irreducible representations of a multiplicative group B* of a quaternion algebra B over a local field k with residue field of characteristic 2.



This monograph represents the first two parts of the author's research on the generalization of class field theory for the noncommutative case. Part I concentrates on the construction of all the irreducible representations of a multiplicative group B* of a quaternion algebra B over a local field k with residue field of characteristic 2. These results are of considerable significance in the light of the connections found by Jacquet-Langlands between representations of GL2 (k) and B* and although they concern GL2 they also provide a model for GLn. Part II deals with n 2 unifying results previously obtained by Weil, Jacquet-Langlands, Bernstein-Zelevinskii, Deligne-Kazdan and others. More than a mere comparison of these results, it reveals an intrinsic correspondence found with the aid of the base restriction process of algebraic groups and the substitution of division of algebras for Cartan subalgebras. The approach is purely local and therefore may be applied also to other types of reductive groups, in particular Sp2l as well as to archimedean cases. This book will be of great interest to researchers and graduate students working in algebraic number theory and automorphic forms.



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Product specificaties:

Taal: fr

Bindwijze: Paperback

Oorspronkelijke releasedatum: 06 mei 1987

Aantal pagina's: 212

Illustraties: Nee

Hoofdauteur: Tetsuo Kaise

Hoofduitgeverij: Springer

Editie: 1987 ed.

Extra groot lettertype: Nee

Product breedte: 155 mm

Product lengte: 235 mm

Studieboek: Ja

Verpakking breedte: 155 mm

Verpakking hoogte: 11 mm

Verpakking lengte: 235 mm

Verpakkingsgewicht: 328 g

EAN: 9783540178279