Book Search:  

 

 
Google full text of our books:

The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129)
C. Bushnell and P. C. Kutzko

Paperback | 1993 | $82.50 / £57.50 | ISBN: 9780691021140
332 pp.
| SHOPPING CART

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.

Series:

Subject Area:

VISIT OUR MATH WEBSITE

Hardcover: Not for sale in Japan

Shopping Cart:

  • For hardcover/paperback orders:

    For hardcover/paperback orders in the United States, Canada, Latin America, Asia, and Australia

    Paperback: $82.50 ISBN: 9780691021140

    For hardcover/paperback orders in Europe, Africa, the Middle East, and India

    Paperback: £57.50 ISBN: 9780691021140

    Prices subject to change without notice

    File created: 4/17/2014

Questions and comments to: webmaster@press.princeton.edu
Princeton University Press

New Book E-mails
New In Print
PUP Blog
Videos/Audios
Sample Chapters
Subjects
Series
Catalogs
Textbooks
For Reviewers
Class Use
Rights
Permissions
Ordering
Recent Awards
Princeton Shorts
Freshman Reading
Princeton APPS
PUP Europe
About Us
Contact Us
Links
F.A.Q.
MATH SITE
PUP Home


Bookmark and Share
Send me emails
about new books in:
Mathematics
More Choices
Email:
Country:
Name: