The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129)

Bushnell, Colin J.; Kutzko, Philip C.

ISBN 10: 0691021147 / ISBN 13: 9780691021140

Edité par Princeton University Press, 1992

A propos de cet article

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N° de réf. du vendeur ABE-1784671604185

Détails bibliographiques

• Titre: The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129)
• Éditeur: Princeton University Press
• Date de parution: 1992
• Langue: anglais
• ISBN à 10 chiffres: 0691021147
• ISBN à 13 chiffres: 9780691021140
• Reliure: Couverture souple
• Édition: Edition originale
• État de l'article: Bon
• Dimensions: 15,88 L x 24,13 H x 1,91 P (centimètres) 15,88 centimètres de largeur par 24,13 centimètres de hauteur par 1,91 centimètres de profondeur
• Poids: 454 grammes

A propos de ce titre

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.

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.