The Admissible Dual of Gl - Couverture souple

Bushnell, Colin J.; Kutzko, Philip C.

Couverture souple

ISBN 10 : 0691021147 ISBN 13 : 9780691021140

Editeur : Princeton University Press, 1993

Synopsis

This work gives a full description of a method for analyzing the admissible complex representations of the general linear group G = Gl(N, F) of a non-Archimedean local field F in terms of the structure of these representations when they are restricted to certain compact open subgroups of G. The authors define a family of representations of these compact open subgroups, which they call simple types. The first example of a simple type, the "trivial type," is the trivial character of an Iwahori subgroup of G. The irreducible representations of G containing the trivial simple type are classified by the simple modules over a classical affine Hecke algebra. Via an isomorphism of Hecke algebras, this classification is transferred to the irreducible representations of G containing a given simple type. This leads to a complete classification of the irreduc-ible smooth representations of G, including an explicit description of the supercuspidal representations as induced representations. A special feature of this work is its virtually complete reliance on algebraic methods of a ring-theoretic kind. A full and accessible account of these methods is given here.

A propos du livre

À propos de l'auteur

Colin J. Bushnell is Professor of Mathematics at King's College, London. Philip C. Kutzko is Professor of Mathematics at the University of Iowa.

Détails de l'édition

• Éditeur: Princeton University Press
• Date d'édition: 1993
• Langue: anglais
• ISBN 10: 0691021147
• ISBN 13: 9780691021140
• Reliure: Broché
• Nombre de pages: 332
• Coordonnées du fabricant: non disponible
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