The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129), Volume 129

di Colin J. Bushnell (Autore)

P. C. Kutzko (Autore)

Princeton University Press, 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.

• Autore: Colin J. Bushnell, P. C. Kutzko
• Editore: Princeton University Press
• Collana: Annals of Mathematics Studies
• Anno: 1993
• Rilegatura: Paperback / softback
• Pagine: 332 p.
• Dimensioni: 235 x 152 mm
• Peso: 454 gr.
• EAN: 9780691021140

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