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The Admissible Dual of GL(N) via Compact Open Subgroups. (AM–129), Volume 129: Annals of Mathematics Studies

Autor Colin J. Bushnell, P. C. Kutzko
en Limba Engleză Paperback – 8 mar 1993
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.
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Specificații

ISBN-13: 9780691021140
ISBN-10: 0691021147
Pagini: 332
Dimensiuni: 154 x 256 x 22 mm
Greutate: 0.48 kg
Ediția:New.
Editura: Princeton University Press
Seria Annals of Mathematics Studies

Locul publicării:Princeton, United States

Notă biografică

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

Descriere

A work that 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.