Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
Automorphic forms on GL (2) / H. Jacquet, R. P. Langlands
| Automorphic forms on GL (2) / H. Jacquet, R. P. Langlands |
| Autore | Jacquet, Herve |
| Pubbl/distr/stampa | Berlin : Springer-Verlag, 1970-72 - 2 pt. ; 25 cm |
| Disciplina | 512.7 |
| Altri autori (Persone) | Langlands, Robert P. |
| Collana |
Lecture notes in mathematics, 0075-8434 ; 114
Lecture notes in mathematics, 0075-8434 ; 278 |
| Soggetto topico |
Automorphic forms
Dirichlet series Group theory Representations of groups |
| ISBN | 3540059318 (Pt.2) |
| Classificazione | AMS 11F12 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000708969707536 |
Jacquet, Herve
|
||
| Berlin : Springer-Verlag, 1970-72 - 2 pt. ; 25 cm | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Automorphic Representation of Unitary Groups in Three Variables. (AM-123), Volume 123 / / Jonathan David Rogawski
| Automorphic Representation of Unitary Groups in Three Variables. (AM-123), Volume 123 / / Jonathan David Rogawski |
| Autore | Rogawski Jonathan David |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (273 pages) |
| Disciplina | 512/.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Unitary groups
Trace formulas Representations of groups Automorphic forms |
| Soggetto non controllato |
Abelian group
Abuse of notation Addition Admissible representation Algebraic closure Algebraic group Algebraic number field Asymptotic expansion Automorphism Base change map Base change Bijection Borel subgroup Cartan subgroup Class function (algebra) Coefficient Combination Compact group Complementary series representation Complex number Congruence subgroup Conjugacy class Continuous function Corollary Countable set Diagram (category theory) Differential operator Dimension (vector space) Dimension Discrete spectrum Division algebra Division by zero Eigenvalues and eigenvectors Embedding Equation Existential quantification Finite set Fourier transform Fundamental lemma (Langlands program) G factor (psychometrics) Galois group Global field Haar measure Hecke algebra Homomorphism Hyperbolic set Index notation Irreducible representation Isomorphism class L-function Langlands classification Linear combination Local field Mathematical induction Maximal compact subgroup Maximal torus Morphism Multiplicative group Neighbourhood (mathematics) Orbital integral Oscillator representation P-adic number Parity (mathematics) Principal series representation Quaternion algebra Quaternion Reductive group Regular element Remainder Representation theory Ring of integers Scientific notation Semisimple algebra Set (mathematics) Shimura variety Simple algebra Smoothness Special case Stable distribution Subgroup Summation Support (mathematics) Tate conjecture Tensor product Theorem Trace formula Triangular matrix Unitary group Variable (mathematics) Weight function Weil group |
| ISBN | 1-4008-8244-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Introduction -- Chapter 1. Preliminary definitions and notation -- Chapter 2. The trace formula -- Chapter 3. Stable conjugacy -- Chapter 4. Orbital integrals and endoscopic groups -- Chapter 5. Stabilization -- Chapter 6. Weighted orbital integrals -- Chapter 7. Elliptic singular terms -- Chapter 8. Germ expansions and limit formulas -- Chapter 9. Singularities -- Chapter 10. The stable trace formula -- Chapter 11. The Unitary group in two variables -- Chapter 12. Representation theory -- Chapter 13. Automorphic representations -- Chapter 14. Comparison of inner forms -- Chapter 15. Additional results -- References -- Subject Index -- Notation Index |
| Record Nr. | UNINA-9910154747203321 |
|
Rogawski Jonathan David
|
||
| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Automorphic representations of low rank groups [[electronic resource] /] / Yuval Z. Flicker
| 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
| 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 / / Yuval Z. Flicker
| Automorphic representations of low rank groups / / Yuval Z. Flicker |
| Autore | Flicker Yuval Z (Yuval Zvi), <1955-> |
| Edizione | [1st ed.] |
| 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 | ||
| ||
The B-conjecture : characterization of Chevalley groups / / John H. Walter
| The B-conjecture : characterization of Chevalley groups / / John H. Walter |
| Autore | Walter John H. <1927-> |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1986 |
| Descrizione fisica | 1 online resource (205 p.) |
| Disciplina | 512/.22 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Chevalley groups
Representations of groups |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0761-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""4. Construction of proper subgroups by signalizer functors""""5. Properties of a minimal counterexample""; ""6. Proof of Theorem I""; ""References""; ""Index""; ""Index of notation"" |
| Record Nr. | UNINA-9910480341103321 |
|
Walter John H. <1927->
|
||
| Providence, Rhode Island, United States : , : American Mathematical Society, , 1986 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The B-conjecture : characterization of Chevalley groups / / John H. Walter
| The B-conjecture : characterization of Chevalley groups / / John H. Walter |
| Autore | Walter John H. <1927-> |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1986 |
| Descrizione fisica | 1 online resource (205 p.) |
| Disciplina | 512/.22 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Chevalley groups
Representations of groups |
| ISBN | 1-4704-0761-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""4. Construction of proper subgroups by signalizer functors""""5. Properties of a minimal counterexample""; ""6. Proof of Theorem I""; ""References""; ""Index""; ""Index of notation"" |
| Record Nr. | UNINA-9910788881803321 |
|
Walter John H. <1927->
|
||
| Providence, Rhode Island, United States : , : American Mathematical Society, , 1986 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The B-conjecture : characterization of Chevalley groups / / John H. Walter
| The B-conjecture : characterization of Chevalley groups / / John H. Walter |
| Autore | Walter John H. <1927-> |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1986 |
| Descrizione fisica | 1 online resource (205 p.) |
| Disciplina | 512/.22 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Chevalley groups
Representations of groups |
| ISBN | 1-4704-0761-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""4. Construction of proper subgroups by signalizer functors""""5. Properties of a minimal counterexample""; ""6. Proof of Theorem I""; ""References""; ""Index""; ""Index of notation"" |
| Record Nr. | UNINA-9910828911203321 |
|
Walter John H. <1927->
|
||
| Providence, Rhode Island, United States : , : American Mathematical Society, , 1986 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The based ring of two-sided cells of Affine Weyl groups of type Ã[subscript n-1] / / Nanhua Xi
| The based ring of two-sided cells of Affine Weyl groups of type Ã[subscript n-1] / / Nanhua Xi |
| Autore | Xi Nanhua <1963-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (114 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Weyl groups
Representations of groups K-theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0342-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Introduction""; ""Chapter 1. Cells in Affine Weyl Groups""; ""1.1. Hecke algebra""; ""1.2. Cell and a-function""; ""1.3. Affine Weyl group""; ""1.4. Star operation""; ""1.5. Based ring""; ""1.6. Star operation, II""; ""Chapter 2. Type A[sub(n-1)]""; ""2.1. The affine Weyl group associated with GL[sub(n)](C)""; ""2.2. Cells""; ""2.3. The based ring J[sub(c)]""; ""2.4. Chains and antichains""; ""2.5. Star operations for W""; ""Chapter 3. Canonical Left Cells""; ""3.1. The dominant weights""; ""3.2. The right cell containing x â?? X[sup(+)]""; ""3.3. The elements m[sub(x)]"" |
| Record Nr. | UNINA-9910480638803321 |
|
Xi Nanhua <1963->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The based ring of two-sided cells of Affine Weyl groups of type Ã[subscript n-1] / / Nanhua Xi
| The based ring of two-sided cells of Affine Weyl groups of type Ã[subscript n-1] / / Nanhua Xi |
| Autore | Xi Nanhua <1963-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (114 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Weyl groups
Representations of groups K-theory |
| ISBN | 1-4704-0342-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Introduction""; ""Chapter 1. Cells in Affine Weyl Groups""; ""1.1. Hecke algebra""; ""1.2. Cell and a-function""; ""1.3. Affine Weyl group""; ""1.4. Star operation""; ""1.5. Based ring""; ""1.6. Star operation, II""; ""Chapter 2. Type A[sub(n-1)]""; ""2.1. The affine Weyl group associated with GL[sub(n)](C)""; ""2.2. Cells""; ""2.3. The based ring J[sub(c)]""; ""2.4. Chains and antichains""; ""2.5. Star operations for W""; ""Chapter 3. Canonical Left Cells""; ""3.1. The dominant weights""; ""3.2. The right cell containing x â?? X[sup(+)]""; ""3.3. The elements m[sub(x)]"" |
| Record Nr. | UNINA-9910788846803321 |
|
Xi Nanhua <1963->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Soggetto topico
-
Representations of groups
(486)
- Lie groups (68)
- Linear algebraic groups (49)
- Finite groups (41)
- Representations of algebras (34)