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About The Admissible Dual of GL via Compact Open Subgroups. , Volume 129
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
Detailed Information
| Author: | Colin J. Bushnell |
|---|---|
| Publication Year: | 1905 |
| ISBN: | 9781400882496 |
| Pages: | 326 |
| Language: | English |
| File Size: | 13 |
| Format: | |
| Price: | FREE |
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