The Admissible Dual of GL N via Compact Open Subgroups AM 129 Volume 129 is popular PDF and ePub book, written by C. Bushnell in 2016-03-02, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, The Admissible Dual of GL N via Compact Open Subgroups AM 129 Volume 129 can be Read Online from any device for your convenience.
The Admissible Dual of GL N via Compact Open Subgroups AM 129 Volume 129 Book PDF Summary
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.
Detail Book of The Admissible Dual of GL N via Compact Open Subgroups AM 129 Volume 129 PDF
- Author : C. Bushnell
- Release : 02 March 2016
- Publisher : Princeton University Press
- ISBN : 9781400882496
- Genre : Mathematics
- Total Page : 332 pages
- Language : English
- PDF File Size : 18,6 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book The Admissible Dual of GL N via Compact Open Subgroups AM 129 Volume 129 by C. Bushnell, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.