The Admissible Dual of GL(N) via Compact Open Subgroups

Colin J. Bushnell

ISBN 10: 0691021147 / ISBN 13: 9780691021140

Edité par Princeton University Press, 1993

A propos de cet article

New Book. Shipped from UK. Established seller since 2000.

N° de réf. du vendeur WP-9780691021140

Détails bibliographiques

• Titre: The Admissible Dual of GL(N) via Compact Open Subgroups
• Éditeur: Princeton University Press
• Date de parution: 1993
• Langue: anglais
• ISBN à 10 chiffres: 0691021147
• ISBN à 13 chiffres: 9780691021140
• Reliure: PAP
• État de l'article: New
• Poids: 533 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.