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The Admissible Dual of GL(N) via Compact Open Subgroups
Taschenbuch von C. Bushnell (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor
Colin J. Bushnell is Professor of Mathematics at King's College, London. Philip C. Kutzko is Professor of Mathematics at the University of Iowa.
Details
Erscheinungsjahr: 1993
Fachbereich: Arithmetik & Algebra
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9780691021140
ISBN-10: 0691021147
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Bushnell, C.
Kutzko, P. C.
Redaktion: Stein, Elias
Mather, P. C.
Griffiths, Phillip
Hersteller: Princeton University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 234 x 156 x 18 mm
Von/Mit: C. Bushnell (u. a.)
Erscheinungsdatum: 03.01.1993
Gewicht: 0,497 kg
Artikel-ID: 102451395
Über den Autor
Colin J. Bushnell is Professor of Mathematics at King's College, London. Philip C. Kutzko is Professor of Mathematics at the University of Iowa.
Details
Erscheinungsjahr: 1993
Fachbereich: Arithmetik & Algebra
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9780691021140
ISBN-10: 0691021147
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Bushnell, C.
Kutzko, P. C.
Redaktion: Stein, Elias
Mather, P. C.
Griffiths, Phillip
Hersteller: Princeton University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 234 x 156 x 18 mm
Von/Mit: C. Bushnell (u. a.)
Erscheinungsdatum: 03.01.1993
Gewicht: 0,497 kg
Artikel-ID: 102451395
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