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Autore: | Pi͡atet͡skiĭ-Shapiro I. I (Ilʹi͡a Iosifovich), <1929-2009, > |
Titolo: | Complex representations of GL(2,K) for finite fields K / / Ilya Piatetski-Shapiro |
Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , [1983] |
©1983 | |
Descrizione fisica: | 1 online resource (84 p.) |
Disciplina: | 512/.2 |
Soggetto topico: | Linear algebraic groups |
Representations of groups | |
Finite fields (Algebra) | |
Note generali: | Includes index. |
Nota di contenuto: | Contents -- Introduction -- Chapter 1. Preliminaries: Representation Theory -- the general linear group -- 1. Linear representations of finite groups -- 2. Induced representations -- 3. The Schur algebra -- 4. The group GL(2,K) -- 5. The conjugacy classes of GL(2,K) -- Chapter 2. The representations of GL(2,K) -- 6. The representations of P -- 7. The representations of B -- 8. Inducing characters from B to G -- 9. The Schur algebra of IndGBÎ? -- 10. The dimension of cuspidal representations -- 11. The description of GL(2,K) by generators and relations --12. Non-decomposable characters of Lx --13. Assigning cuspidal representations to non-decomposable characters --14. The correspondence between v and Pv --15. The small Weil group and the small reciprocity law --Chapter 3. г-functions and Bessel functions --16. Whittaker models --17. The г-function of a representation --18. Determination of ρ by гρ --19. The Bessel function of a representation --20. A computation of гρ(ω) for a non-cuspidal ρ --21. A computation of гρ(ω) for a cuspidal ρ --22. The characters of G --References --Index. |
Titolo autorizzato: | Complex representations of GL(2,K) for finite fields K |
ISBN: | 0-8218-7602-3 |
0-8218-5019-9 | |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910811765203321 |
Lo trovi qui: | Univ. Federico II |
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