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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 | ||
| ||
Equations over finite fields : an elementary approach / / W. M. Schmidt
| Equations over finite fields : an elementary approach / / W. M. Schmidt |
| Autore | Schmidt Wolfgang M. <1933-> |
| Edizione | [1st ed. 1976.] |
| Pubbl/distr/stampa | Berlin, Germany : , : Springer, , [1976] |
| Descrizione fisica | 1 online resource (XII, 272 p.) |
| Disciplina | 510 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico | Finite fields (Algebra) |
| ISBN | 3-540-38123-6 |
| Classificazione | 10G05 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Equations yd=f(x) and yq?y=f(x) -- Character sums and exponential sums -- Absolutely irreducible equations f(x,y)=0 -- Equations in many variables -- Absolutely irreducible equations f(x1,...,xn)=0 -- Rudiments of algebraic geometry. The number of points in varieties over finite fields. |
| Record Nr. | UNISA-996466482603316 |
|
Schmidt Wolfgang M. <1933->
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| Berlin, Germany : , : Springer, , [1976] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Explicit arithmetic of Jacobians of generalized Legendre curves over global function fields / / Lisa Berger [and seven others]
| Explicit arithmetic of Jacobians of generalized Legendre curves over global function fields / / Lisa Berger [and seven others] |
| Autore | Berger Lisa <1969-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2020] |
| Descrizione fisica | 1 online resource (144 pages) |
| Disciplina | 516.352 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Curves, Algebraic
Legendre's functions Rational points (Geometry) Birch-Swinnerton-Dyer conjecture Jacobians Abelian varieties Finite fields (Algebra) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-6253-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480428303321 |
|
Berger Lisa <1969->
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| Providence, Rhode Island : , : American Mathematical Society, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Explicit arithmetic of Jacobians of generalized Legendre curves over global function fields / / Lisa Berger [and seven others]
| Explicit arithmetic of Jacobians of generalized Legendre curves over global function fields / / Lisa Berger [and seven others] |
| Autore | Berger Lisa <1969-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2020] |
| Descrizione fisica | 1 online resource (144 pages) |
| Disciplina | 516.352 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Curves, Algebraic
Legendre's functions Rational points (Geometry) Birch-Swinnerton-Dyer conjecture Jacobians Abelian varieties Finite fields (Algebra) |
| ISBN | 1-4704-6253-2 |
| Classificazione | 11G1011G3011G4014G0514G2514K15 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The curve, explicit divisors, and relations -- Descent calculations -- Minimal regular model, local invariants, and domination by a product of curves -- Heights and the visible subgroup -- The L-function and the BSD conjecture -- Analysis of J[p] and NS(Xd)tor -- Index of the visible subgroup and the Tate-Shafarevich group -- Monodromy of ℓ-torsion and decomposition of the Jacobian. |
| Record Nr. | UNINA-9910794334103321 |
|
Berger Lisa <1969->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Explicit arithmetic of Jacobians of generalized Legendre curves over global function fields / / Lisa Berger [and seven others]
| Explicit arithmetic of Jacobians of generalized Legendre curves over global function fields / / Lisa Berger [and seven others] |
| Autore | Berger Lisa <1969-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2020] |
| Descrizione fisica | 1 online resource (144 pages) |
| Disciplina | 516.352 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Curves, Algebraic
Legendre's functions Rational points (Geometry) Birch-Swinnerton-Dyer conjecture Jacobians Abelian varieties Finite fields (Algebra) |
| ISBN | 1-4704-6253-2 |
| Classificazione | 11G1011G3011G4014G0514G2514K15 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The curve, explicit divisors, and relations -- Descent calculations -- Minimal regular model, local invariants, and domination by a product of curves -- Heights and the visible subgroup -- The L-function and the BSD conjecture -- Analysis of J[p] and NS(Xd)tor -- Index of the visible subgroup and the Tate-Shafarevich group -- Monodromy of ℓ-torsion and decomposition of the Jacobian. |
| Record Nr. | UNINA-9910813546003321 |
|
Berger Lisa <1969->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Extended graphical calculus for categorified quantum sl(2) / / Mikhail Khovano [and three others]
| Extended graphical calculus for categorified quantum sl(2) / / Mikhail Khovano [and three others] |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (87 p.) |
| Disciplina | 512/.482 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Categories (Mathematics)
Quantum groups Symmetric functions Finite fields (Algebra) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-9110-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""1.1. The algebra ""; ""1.2. Categorification""; ""1.3. Diagrammatics for the Karoubi envelope ""; ""1.4. Categorification and symmetric functions""; ""1.5. Relations to other categorifications""; ""Chapter 2. Thick calculus for the nilHecke ring""; ""2.1. The nilHecke ring and its diagrammatics""; ""2.2. Boxes, thick lines, and splitters""; ""2.3. Partitions, symmetric functions, and their diagrammatics""; ""2.4. Splitter equations, explosions, and idempotents""; ""2.5. The nilHecke algebra as a matrix algebra over its center""
""Chapter 3. Brief review of calculus for categorified sl(2)""""3.1. The algebra ""; ""3.2. The 2-category ""; ""3.3. Box notation for ""; ""3.4. Karoubi envelope""; ""Chapter 4. Thick calculus and ""; ""4.1. Thick lines oriented up or down""; ""4.2. Splitters as diagrams for the inclusion of a summand""; ""4.3. Adding isotopies via thick caps and cups""; ""4.4. Thin bubble slides""; ""4.5. Thick bubbles""; ""4.6. Thick bubble slides and some key lemmas""; ""Chapter 5. Decompositions of functors and other applications""; ""5.1. Decomposition of â?°^{( )}â?°^{( )}1_{ }"" ""5.2. Decomposition of â?°^{( )}â?±^{( )}1_{ }""""5.3. Indecomposables over â??""; ""5.4. Bases for HOMs between some 1-morphisms""; ""Bibliography"" |
| Record Nr. | UNINA-9910480635703321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Extended graphical calculus for categorified quantum sl(2) / / Mikhail Khovano [and three others]
| Extended graphical calculus for categorified quantum sl(2) / / Mikhail Khovano [and three others] |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (87 p.) |
| Disciplina | 512/.482 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Categories (Mathematics)
Quantum groups Symmetric functions Finite fields (Algebra) |
| ISBN | 0-8218-9110-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""1.1. The algebra ""; ""1.2. Categorification""; ""1.3. Diagrammatics for the Karoubi envelope ""; ""1.4. Categorification and symmetric functions""; ""1.5. Relations to other categorifications""; ""Chapter 2. Thick calculus for the nilHecke ring""; ""2.1. The nilHecke ring and its diagrammatics""; ""2.2. Boxes, thick lines, and splitters""; ""2.3. Partitions, symmetric functions, and their diagrammatics""; ""2.4. Splitter equations, explosions, and idempotents""; ""2.5. The nilHecke algebra as a matrix algebra over its center""
""Chapter 3. Brief review of calculus for categorified sl(2)""""3.1. The algebra ""; ""3.2. The 2-category ""; ""3.3. Box notation for ""; ""3.4. Karoubi envelope""; ""Chapter 4. Thick calculus and ""; ""4.1. Thick lines oriented up or down""; ""4.2. Splitters as diagrams for the inclusion of a summand""; ""4.3. Adding isotopies via thick caps and cups""; ""4.4. Thin bubble slides""; ""4.5. Thick bubbles""; ""4.6. Thick bubble slides and some key lemmas""; ""Chapter 5. Decompositions of functors and other applications""; ""5.1. Decomposition of â?°^{( )}â?°^{( )}1_{ }"" ""5.2. Decomposition of â?°^{( )}â?±^{( )}1_{ }""""5.3. Indecomposables over â??""; ""5.4. Bases for HOMs between some 1-morphisms""; ""Bibliography"" |
| Record Nr. | UNINA-9910788618903321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Extended graphical calculus for categorified quantum sl(2) / / Mikhail Khovano [and three others]
| Extended graphical calculus for categorified quantum sl(2) / / Mikhail Khovano [and three others] |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (87 p.) |
| Disciplina | 512/.482 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Categories (Mathematics)
Quantum groups Symmetric functions Finite fields (Algebra) |
| ISBN | 0-8218-9110-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""1.1. The algebra ""; ""1.2. Categorification""; ""1.3. Diagrammatics for the Karoubi envelope ""; ""1.4. Categorification and symmetric functions""; ""1.5. Relations to other categorifications""; ""Chapter 2. Thick calculus for the nilHecke ring""; ""2.1. The nilHecke ring and its diagrammatics""; ""2.2. Boxes, thick lines, and splitters""; ""2.3. Partitions, symmetric functions, and their diagrammatics""; ""2.4. Splitter equations, explosions, and idempotents""; ""2.5. The nilHecke algebra as a matrix algebra over its center""
""Chapter 3. Brief review of calculus for categorified sl(2)""""3.1. The algebra ""; ""3.2. The 2-category ""; ""3.3. Box notation for ""; ""3.4. Karoubi envelope""; ""Chapter 4. Thick calculus and ""; ""4.1. Thick lines oriented up or down""; ""4.2. Splitters as diagrams for the inclusion of a summand""; ""4.3. Adding isotopies via thick caps and cups""; ""4.4. Thin bubble slides""; ""4.5. Thick bubbles""; ""4.6. Thick bubble slides and some key lemmas""; ""Chapter 5. Decompositions of functors and other applications""; ""5.1. Decomposition of â?°^{( )}â?°^{( )}1_{ }"" ""5.2. Decomposition of â?°^{( )}â?±^{( )}1_{ }""""5.3. Indecomposables over â??""; ""5.4. Bases for HOMs between some 1-morphisms""; ""Bibliography"" |
| Record Nr. | UNINA-9910828805803321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
