The admissible dual of GL(N) via compact open subgroups
The admissible dual of GL(N) via compact open subgroups:

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 autho...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Bushnell, Colin J. 1947- (VerfasserIn), Kutzko, Philip C. 1946- (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Princeton, NJ Princeton University Press [1993]
Schriftenreihe:Annals of Mathematics Studies number 129
Schlagworte:
Nonstandard mathematical analysis
Representations of groups
Reduktive Gruppe
Irreduzible Darstellung
Online-Zugang:URL des Erstveröffentlichers
Zusammenfassung: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
Beschreibung:Description based on online resource; title from PDF title page (publisher's Web site, viewed Jul. 04., 2016)
Beschreibung:1 online resource
ISBN:9781400882496
DOI:10.1515/9781400882496

Ähnliche Einträge