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Complex representations of GL(2,K) for finite fields K / / Ilya Piatetski-Shapiro
| Complex representations of GL(2,K) for finite fields K / / Ilya Piatetski-Shapiro |
| Autore | Pi͡atet͡skiĭ-Shapiro I. I (Ilʹi͡a Iosifovich), <1929-2009, > |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1983] |
| Descrizione fisica | 1 online resource (84 p.) |
| Disciplina | 512/.2 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Linear algebraic groups
Representations of groups Finite fields (Algebra) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7602-3
0-8218-5019-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910480452503321 |
Pi͡atet͡skiĭ-Shapiro I. I (Ilʹi͡a Iosifovich), <1929-2009, >
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1983] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Complex representations of GL(2,K) for finite fields K / / Ilya Piatetski-Shapiro
| Complex representations of GL(2,K) for finite fields K / / Ilya Piatetski-Shapiro |
| Autore | Pi͡atet͡skiĭ-Shapiro I. I (Ilʹi͡a Iosifovich), <1929-2009, > |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1983] |
| Descrizione fisica | 1 online resource (84 p.) |
| Disciplina | 512/.2 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Linear algebraic groups
Representations of groups Finite fields (Algebra) |
| ISBN |
0-8218-7602-3
0-8218-5019-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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. |
| Record Nr. | UNINA-9910788780003321 |
|
Pi͡atet͡skiĭ-Shapiro I. I (Ilʹi͡a Iosifovich), <1929-2009, >
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1983] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Complex representations of GL(2,K) for finite fields K / / Ilya Piatetski-Shapiro
| Complex representations of GL(2,K) for finite fields K / / Ilya Piatetski-Shapiro |
| Autore | Pi͡atet͡skiĭ-Shapiro I. I (Ilʹi͡a Iosifovich), <1929-2009, > |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1983] |
| Descrizione fisica | 1 online resource (84 p.) |
| Disciplina | 512/.2 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Linear algebraic groups
Representations of groups Finite fields (Algebra) |
| ISBN |
0-8218-7602-3
0-8218-5019-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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. |
| Record Nr. | UNINA-9910811765203321 |
|
Pi͡atet͡skiĭ-Shapiro I. I (Ilʹi͡a Iosifovich), <1929-2009, >
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1983] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||