Automorphic representations of low rank groups [[electronic resource] /] / Yuval Z. Flicker |
Autore | Flicker Yuval Z (Yuval Zvi), <1955-> |
Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, c2006 |
Descrizione fisica | 1 online resource (xi, 485 p.) |
Disciplina | 512.22 |
Soggetto topico |
Representations of groups
Unitary groups Lifting theory Automorphic forms Trace formulas |
Soggetto genere / forma | Electronic books. |
ISBN |
1-281-92488-1
9786611924881 981-277-362-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface -- pt. 1. On the symmetric square lifting introduction. 1. Functoriality and norms. 1.1. Hecke algebra. 1.2. Norms. 1.3. Local lifting. 1.4. Orthogonality. II. Orbital integrals. II.1. Fundamental lemma. II.2. Differential forms. II.3. Matching orbital integrals. II.4. Germ expansion. III. Twisted trace formula. III.1. Geometric side. III.2. Analytic side. III.3. Trace formulae. IV. Total global comparison. IV. Total global comparison. IV.1. The comparison. IV.2. Appendix: Mathematica program. V. Applications of a trace formula. V.1. Approximation. V.2. Main theorems. V.3. Characters and genericity. VI. Computation of a twisted character. VI.1. Proof of theorem, anisotropic case. VI.2. Proof of theorem, isotropic case -- pt. 2. Automorphic representations of the unitary group U(3,E/F) introduction. 1. Functorial overview. 2. Statement of results. I. Local theory. I.1. Conjugacy classes. I.2. Orbital integrals. I.3. Fundamental lemma. I.4. Admissible representations. I.5. Representations of U(2,1;C/R). 1.6. Fundamental lemma again. II. Trace formula. II.1. Stable trace formula. II.2. Twisted trace formula. II.3. Restricted comparison. II.4. Trace identity. II.5. The [symbol]-endo-lifting e'. II.6. The quasi-endo-lifting e. II.7. Unitary symmetric square. III. Liftings and packets. III.1. Local identity. III.2. Separation. III.3. Specific lifts. III.4. Whittaker models and twisted characters. III.5. Global lifting. III.6. Concluding remarks -- pt. 3. Zeta functions of Shimura varieties of U(3) introduction. 1. Statement of results. 2. The zeta function. I. Preliminaries. I.1. The Shumira variety. I.2. Decomposition of cohomology. I.3. Galois representations. II. Automorphic representations. II.1. Stabilization and the test function. II.2. Functorial overview of basechange for U(3). II.3. Local results on basechange for U(3). II.4. Global results on basechange for U(3). II.5. Spectral side of the stable trace formula. II.6. Proper endoscopic group. III. Local terms. III.1. The reflex field. III.2. The representation of the dual group. III.3. Local terms at p. III.4. The eigenvalues at p. III.5. Terms at p for the endoscopic group. IV. Real representations. IV.1. Representations of the real GL(2). IV.2. Representations of U(2,l). IV.3. Finite-dimensional representations. V. Galois representations. V.1. Stable case. V.2. Unstable case. V.3. Nontempered case. |
Record Nr. | UNINA-9910451547603321 |
Flicker Yuval Z (Yuval Zvi), <1955-> | ||
Hackensack, N.J., : World Scientific, c2006 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Automorphic representations of low rank groups [[electronic resource] /] / Yuval Z. Flicker |
Autore | Flicker Yuval Z (Yuval Zvi), <1955-> |
Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, c2006 |
Descrizione fisica | 1 online resource (xi, 485 p.) |
Disciplina | 512.22 |
Soggetto topico |
Representations of groups
Unitary groups Lifting theory Automorphic forms Trace formulas |
ISBN |
1-281-92488-1
9786611924881 981-277-362-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface -- pt. 1. On the symmetric square lifting introduction. 1. Functoriality and norms. 1.1. Hecke algebra. 1.2. Norms. 1.3. Local lifting. 1.4. Orthogonality. II. Orbital integrals. II.1. Fundamental lemma. II.2. Differential forms. II.3. Matching orbital integrals. II.4. Germ expansion. III. Twisted trace formula. III.1. Geometric side. III.2. Analytic side. III.3. Trace formulae. IV. Total global comparison. IV. Total global comparison. IV.1. The comparison. IV.2. Appendix: Mathematica program. V. Applications of a trace formula. V.1. Approximation. V.2. Main theorems. V.3. Characters and genericity. VI. Computation of a twisted character. VI.1. Proof of theorem, anisotropic case. VI.2. Proof of theorem, isotropic case -- pt. 2. Automorphic representations of the unitary group U(3,E/F) introduction. 1. Functorial overview. 2. Statement of results. I. Local theory. I.1. Conjugacy classes. I.2. Orbital integrals. I.3. Fundamental lemma. I.4. Admissible representations. I.5. Representations of U(2,1;C/R). 1.6. Fundamental lemma again. II. Trace formula. II.1. Stable trace formula. II.2. Twisted trace formula. II.3. Restricted comparison. II.4. Trace identity. II.5. The [symbol]-endo-lifting e'. II.6. The quasi-endo-lifting e. II.7. Unitary symmetric square. III. Liftings and packets. III.1. Local identity. III.2. Separation. III.3. Specific lifts. III.4. Whittaker models and twisted characters. III.5. Global lifting. III.6. Concluding remarks -- pt. 3. Zeta functions of Shimura varieties of U(3) introduction. 1. Statement of results. 2. The zeta function. I. Preliminaries. I.1. The Shumira variety. I.2. Decomposition of cohomology. I.3. Galois representations. II. Automorphic representations. II.1. Stabilization and the test function. II.2. Functorial overview of basechange for U(3). II.3. Local results on basechange for U(3). II.4. Global results on basechange for U(3). II.5. Spectral side of the stable trace formula. II.6. Proper endoscopic group. III. Local terms. III.1. The reflex field. III.2. The representation of the dual group. III.3. Local terms at p. III.4. The eigenvalues at p. III.5. Terms at p for the endoscopic group. IV. Real representations. IV.1. Representations of the real GL(2). IV.2. Representations of U(2,l). IV.3. Finite-dimensional representations. V. Galois representations. V.1. Stable case. V.2. Unstable case. V.3. Nontempered case. |
Record Nr. | UNINA-9910777496103321 |
Flicker Yuval Z (Yuval Zvi), <1955-> | ||
Hackensack, N.J., : World Scientific, c2006 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Automorphic representations of low rank groups [[electronic resource] /] / Yuval Z. Flicker |
Autore | Flicker Yuval Z (Yuval Zvi), <1955-> |
Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, c2006 |
Descrizione fisica | 1 online resource (xi, 485 p.) |
Disciplina | 512.22 |
Soggetto topico |
Representations of groups
Unitary groups Lifting theory Automorphic forms Trace formulas |
ISBN |
1-281-92488-1
9786611924881 981-277-362-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface -- pt. 1. On the symmetric square lifting introduction. 1. Functoriality and norms. 1.1. Hecke algebra. 1.2. Norms. 1.3. Local lifting. 1.4. Orthogonality. II. Orbital integrals. II.1. Fundamental lemma. II.2. Differential forms. II.3. Matching orbital integrals. II.4. Germ expansion. III. Twisted trace formula. III.1. Geometric side. III.2. Analytic side. III.3. Trace formulae. IV. Total global comparison. IV. Total global comparison. IV.1. The comparison. IV.2. Appendix: Mathematica program. V. Applications of a trace formula. V.1. Approximation. V.2. Main theorems. V.3. Characters and genericity. VI. Computation of a twisted character. VI.1. Proof of theorem, anisotropic case. VI.2. Proof of theorem, isotropic case -- pt. 2. Automorphic representations of the unitary group U(3,E/F) introduction. 1. Functorial overview. 2. Statement of results. I. Local theory. I.1. Conjugacy classes. I.2. Orbital integrals. I.3. Fundamental lemma. I.4. Admissible representations. I.5. Representations of U(2,1;C/R). 1.6. Fundamental lemma again. II. Trace formula. II.1. Stable trace formula. II.2. Twisted trace formula. II.3. Restricted comparison. II.4. Trace identity. II.5. The [symbol]-endo-lifting e'. II.6. The quasi-endo-lifting e. II.7. Unitary symmetric square. III. Liftings and packets. III.1. Local identity. III.2. Separation. III.3. Specific lifts. III.4. Whittaker models and twisted characters. III.5. Global lifting. III.6. Concluding remarks -- pt. 3. Zeta functions of Shimura varieties of U(3) introduction. 1. Statement of results. 2. The zeta function. I. Preliminaries. I.1. The Shumira variety. I.2. Decomposition of cohomology. I.3. Galois representations. II. Automorphic representations. II.1. Stabilization and the test function. II.2. Functorial overview of basechange for U(3). II.3. Local results on basechange for U(3). II.4. Global results on basechange for U(3). II.5. Spectral side of the stable trace formula. II.6. Proper endoscopic group. III. Local terms. III.1. The reflex field. III.2. The representation of the dual group. III.3. Local terms at p. III.4. The eigenvalues at p. III.5. Terms at p for the endoscopic group. IV. Real representations. IV.1. Representations of the real GL(2). IV.2. Representations of U(2,l). IV.3. Finite-dimensional representations. V. Galois representations. V.1. Stable case. V.2. Unstable case. V.3. Nontempered case. |
Record Nr. | UNINA-9910807466103321 |
Flicker Yuval Z (Yuval Zvi), <1955-> | ||
Hackensack, N.J., : World Scientific, c2006 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Base change for GL (2) |
Autore | LANGLANDS, Robert P. |
Pubbl/distr/stampa | Princeton : Princeton University press |
Descrizione fisica | VII, 236 p. : graf. ; 23 cm |
Disciplina | 512.22 |
Collana | Annals of Mathematics studies |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISA-990000621150203316 |
LANGLANDS, Robert P. | ||
Princeton : Princeton University press | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|
Base change for GL(2) / Robert P. Langlands |
Autore | Langlands, Robert P. |
Pubbl/distr/stampa | Tokio : Tokio Univ. Press ; Princeton, N. J. : Princeton Univ. Press, 1980 |
Descrizione fisica | vii, 235 p. ; 24 cm. |
Disciplina | 512.22 |
Collana | Annals of mathematics studies ; 96 |
Soggetto topico |
Dirichlet series
Field theory L-functions Modular forms Polynomials Representations theory of groups Zeta-functions |
ISBN | 0691082634 |
Classificazione |
AMS 11F
AMS 11F66 AMS 11M AMS 12-XX AMS 20C QA171.L29 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000712269707536 |
Langlands, Robert P. | ||
Tokio : Tokio Univ. Press ; Princeton, N. J. : Princeton Univ. Press, 1980 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
Brauer trees of sporadic groups / G. Hiss and K. Lux |
Autore | Hiss, G. |
Pubbl/distr/stampa | Oxford : Clarendon Press, 1989 |
Descrizione fisica | X, 525 p. : ill. ; 24 cm. |
Disciplina | 512.22 |
Altri autori (Persone) | Lux, K. |
Collana | Oxford Science Publications |
Soggetto topico | Teoria dei gruppi |
ISBN | 0-19-853381-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNIBAS-000011557 |
Hiss, G. | ||
Oxford : Clarendon Press, 1989 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. della Basilicata | ||
|
Brauer trees of sporadic groups / G. Hiss, K. Lux |
Autore | Hiss, G. |
Pubbl/distr/stampa | Oxford : Clarendon Press, 1989 |
Descrizione fisica | x, 526 p. ; 23 cm. |
Disciplina | 512.22 |
Altri autori (Persone) | Lux, Klaus |
Soggetto topico | Group theory |
ISBN | 0198533810 |
Classificazione | AMS 20D |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000723299707536 |
Hiss, G. | ||
Oxford : Clarendon Press, 1989 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
Buildings of spherical type and finite BN-pairs / Jacques Tits |
Autore | Tits, Jacques |
Pubbl/distr/stampa | Berlin : Springer-Verlag, 1974 |
Descrizione fisica | x, 299 p. ; 25 cm |
Disciplina | 512.22 |
Collana | Lecture notes in mathematics, 0075-8434 ; 386 |
Soggetto topico |
Buildings (Group theory)
Finite groups Isomorphisms Linear algebraic groups |
ISBN | 3540067574 |
Classificazione |
AMS 20E42
AMS 51E24 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000724669707536 |
Tits, Jacques | ||
Berlin : Springer-Verlag, 1974 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
The Burnside problem and identities in groups / S. I. Adian ; translated from the Russian by John Lennox and James Wiegold |
Autore | Adian, S. I. |
Pubbl/distr/stampa | Berlin : Springer-Verlag, 1979 |
Descrizione fisica | x, 311 p. ; 25 cm. |
Disciplina | 512.22 |
Soggetto topico |
Burnside problem
Finite groups Group theory-generators Group theory-relations |
ISBN | 3540087281 |
Classificazione |
AMS 20E
AMS 20F50 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000725029707536 |
Adian, S. I. | ||
Berlin : Springer-Verlag, 1979 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
Classgroups of group rings / Martin Taylor |
Autore | Taylor, Martin |
Pubbl/distr/stampa | Cambridge ; New York : Cambridge University Press, 1984 |
Descrizione fisica | xiii, 119 p. ; 23 cm |
Disciplina | 512.22 |
Collana | London Mathematical Society lecture note series, 0076-0552 ; 91 |
Soggetto topico |
Class groups
Group rings Modules |
ISBN | 0521278708 |
Classificazione |
AMS 20B
QA171 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000742959707536 |
Taylor, Martin | ||
Cambridge ; New York : Cambridge University Press, 1984 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|