The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129) PDF (Adobe DRM) download by C. Bushnell

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

Princeton University Press
Publication date: March 2016
ISBN: 9781400882496
Digital Book format: PDF (Adobe DRM)

Buy PDF

List price:
$99.95
Our price:
$93.99

You save: $5.96 (6%)

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.

Please sign in to review this product.
Format:
Devices:
The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129) PDF (Adobe DRM) can be read on any device that can open PDF (Adobe DRM) files.

File Size:
19204 Kb
Language:
ENG
Copy From Text:
Disabled.
Printing:
Disabled.