Représentations des groupes réductifs p-adiques / David Renard
Type de document : MonographieCollection : Cours spécialisés, 17Langue : français.Pays: France.Éditeur : Paris : Société Mathématique de France, 2010Description : 1 vol. (VI-332 p.) : appendice ; 25 cmISBN: 9782856292785.ISSN: 1284-6090.Bibliographie : Bibliogr. p. [323]-326. Index.Sujet MSC : 22E50, Lie groups, Representations of Lie and linear algebraic groups over local fields22-02, Research exposition (monographs, survey articles) pertaining to topological groups
11F70, Discontinuous groups and automorphic forms, Representation-theoretic methods; automorphic representations over local and global fieldsEn-ligne : Résumé
| Item type | Current library | Call number | Status | Date due | Barcode |
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Monographie
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CMI Salle 1 | Séries COSP (Browse shelf(Opens below)) | Available | 08152-01 |
Bibliogr. p. [323]-326. Index
The representation theory of p-adic reductive groups is presented in this work following J. Bernstein's ideas. The first four chapters (over 100 pages) give an elaborate and self-contained exposition of the general theory of smooth complex representations of totally disconnected locally compact groups. In a short chapter results on the structure of p-adic reductive groups are formulated, mostly without proofs, with the advice to study some examples of classical groups (the book contains no examples). In the last half of the book the representation theory of p-adic reductive groups is developed, with main results the Bernstein decomposition of the category of smooth representations of such a group and the Langlands classification of the irreducible representations. (Zentralblatt)
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