Wheelers Books

This title is firm sale. Please select carefully as returns are not accepted.

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 (Trade Paperback / Paperback)

By Bushnell, C.
By Kutzko, P. C.
C.

  • RRP: $216.00
  • $216.00
  • To Order

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 subgr...oups 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.
Read more

ISBN 9780691021140
Released NZ 15 Jun 1992
Format Trade Paperback/Paperback
Language English (translated from: English)
Series Annals of Mathematics Studies (part: 139)
Availability
Indent title (internationally sourced), allow 8-12 weeks

Full details for this title

ISBN-13 9780691021140
Stock Available
Status Indent title (internationally sourced), allow 8-12 weeks
Publisher unlisted
Imprint Princeton University Press
Released 15 Jun 1992
Publication Country United States United States
Format Trade Paperback/Paperback
Language English
Translated from English
Author(s) By Bushnell, C.
By Kutzko, P. C.
C.
Series Annals of Mathematics Studies (part: 139)
Category Non-Fiction (Child / Teen)
Algebra
Algebra: Groups & Group Theory
Number of Pages 332
Dimensions Width: 152mm
Height: 235mm
Spine: 21mm
Dewey Code 512
Weight 454g
Interest Age 19+ years
Reading Age 19+ years
Library of Congress Representations of groups, Nonstandard mathematical analysis
NBS Text Mathematics
ONIX Text Professional and scholarly;College/higher education

TOP