The Admissible Dual of Gl(n) Via Compact Open Subgroups. (Am-129), Volume 129
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The Admissible Dual of Gl(n) Via Compact Open Subgroups. (Am-129), Volume 129

The Admissible Dual of Gl(n) Via Compact Open Subgroups. (Am-129), Volume 129


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About the Book

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.


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Product Details
  • ISBN-13: 9780691021140
  • Publisher: Princeton University Press
  • Publisher Imprint: Princeton University Press
  • Depth: 19
  • Language: English
  • Returnable: Y
  • Spine Width: 21 mm
  • Width: 155 mm
  • ISBN-10: 0691021147
  • Publisher Date: 03 Jan 1993
  • Binding: Paperback
  • Height: 235 mm
  • No of Pages: 332
  • Series Title: Annals of Mathematics Studies
  • Weight: 526 gr


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The Admissible Dual of Gl(n) Via Compact Open Subgroups. (Am-129), Volume 129
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