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

Bushnell, C. and P. C. Kutzko:

ISBN 10: 0691021147 / ISBN 13: 9780691021140

Published by Princeton University Press., 1993

About this Item

313 Seiten, mit Abbildungen; Zust: Gutes Exemplar. Schneller Versand und persönlicher Service - jedes Buch händisch geprüft und beschrieben - aus unserem Familienbetrieb seit über 25 Jahren. Eine Rechnung mit ausgewiesener Mehrwertsteuer liegt jeder unserer Lieferungen bei. Wir versenden mit der deutschen Post. Sprache: Englisch Gewicht in Gramm: 470.

Seller Inventory # 494289

Bibliographic Details

• Title: The Admissible Dual of GL(N) via Compact Open Subgroups
• Publisher: Princeton University Press.
• Publication Date: 1993
• Language: English
• ISBN 10: 0691021147
• ISBN 13: 9780691021140
• Binding: kartoniert kartoniert
• Condition: Sehr gut
• Weight: 470 grams
• Seller catalogs:
  • Mathematik

About this title

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.

About the Author

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