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[null,"1.","Record Nr.",null,"UNINA9910154750803321"]
[null,null,"Autore",null,"Bushnell C."]
[null,null,"Titolo",null,"The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129), Volume 129 / / C. Bushnell, P. C. Kutzko"]
[null,null,"Pubbl/distr/stampa",null,"Princeton, NJ : , : Princeton University Press, , [2016]"]
[{"$nulls":4},"©1993"]
[null,null,"ISBN",null,"1-4008-8249-4"]
[null,null,"Descrizione fisica",null,"1 online resource (327 pages) : illustrations"]
[null,null,"Collana",null,"Annals of Mathematics Studies ; ; 311"]
[null,null,"Classificazione",null,"SK 340"]
[null,null,"Disciplina",null,"512/.2"]
[null,null,"Soggetti",null,"Representations of groups"]
[{"$nulls":4},"Nonstandard mathematical analysis"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Frontmatter -- Contents -- Introduction -- Comments for the reader -- 1. Exactness and intertwining -- 2. The structure of simple strata -- 3. The simple characters of a simple stratum -- 4. Interlude with Hecke algebra -- 5. Simple types -- 6. Maximal types -- 7. Typical representations -- 8. Atypical representations -- References -- Index of notation and terminology"]
[null,null,null,"Sommario/riassunto","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."]