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Biblioteca

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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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
Invariant measures for unitary groups associated to Kac-Moody Lie algebras / / Doug Pickrell
Invariant measures for unitary groups associated to Kac-Moody Lie algebras / / Doug Pickrell
Autore Pickrell Doug <1952->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2000]
Descrizione fisica 1 online resource (143 p.)
Disciplina 510 s
512/.55
Collana Memoirs of the American Mathematical Society
Soggetto topico Kac-Moody algebras
Invariant measures
Unitary groups
Soggetto genere / forma Electronic books.
ISBN 1-4704-0284-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910479978203321
Pickrell Doug <1952->  
Providence, Rhode Island : , : American Mathematical Society, , [2000]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Invariant measures for unitary groups associated to Kac-Moody Lie algebras / / Doug Pickrell
Invariant measures for unitary groups associated to Kac-Moody Lie algebras / / Doug Pickrell
Autore Pickrell Doug <1952->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2000]
Descrizione fisica 1 online resource (143 p.)
Disciplina 510 s
512/.55
Collana Memoirs of the American Mathematical Society
Soggetto topico Kac-Moody algebras
Invariant measures
Unitary groups
ISBN 1-4704-0284-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910788841203321
Pickrell Doug <1952->  
Providence, Rhode Island : , : American Mathematical Society, , [2000]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Invariant measures for unitary groups associated to Kac-Moody Lie algebras / / Doug Pickrell
Invariant measures for unitary groups associated to Kac-Moody Lie algebras / / Doug Pickrell
Autore Pickrell Doug <1952->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2000]
Descrizione fisica 1 online resource (143 p.)
Disciplina 510 s
512/.55
Collana Memoirs of the American Mathematical Society
Soggetto topico Kac-Moody algebras
Invariant measures
Unitary groups
ISBN 1-4704-0284-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910818131303321
Pickrell Doug <1952->  
Providence, Rhode Island : , : American Mathematical Society, , [2000]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Locally AH-algebras / / Huaxin Lin
Locally AH-algebras / / Huaxin Lin
Autore Lin Huaxin <1956->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2014
Descrizione fisica 1 online resource (108 p.)
Disciplina 512/.55
Collana Memoirs of the American Mathematical Society
Soggetto topico C*-algebras
Unitary groups
Algebra
Soggetto genere / forma Electronic books.
ISBN 1-4704-2225-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Back Cover""
Record Nr. UNINA-9910480532403321
Lin Huaxin <1956->  
Providence, Rhode Island : , : American Mathematical Society, , 2014
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Locally AH-algebras / / Huaxin Lin
Locally AH-algebras / / Huaxin Lin
Autore Lin Huaxin <1956->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2014
Descrizione fisica 1 online resource (108 p.)
Disciplina 512/.55
Collana Memoirs of the American Mathematical Society
Soggetto topico C*-algebras
Unitary groups
Algebra
ISBN 1-4704-2225-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Back Cover""
Record Nr. UNINA-9910797018103321
Lin Huaxin <1956->  
Providence, Rhode Island : , : American Mathematical Society, , 2014
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Locally AH-algebras / / Huaxin Lin
Locally AH-algebras / / Huaxin Lin
Autore Lin Huaxin <1956->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2014
Descrizione fisica 1 online resource (108 p.)
Disciplina 512/.55
Collana Memoirs of the American Mathematical Society
Soggetto topico C*-algebras
Unitary groups
Algebra
ISBN 1-4704-2225-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Back Cover""
Record Nr. UNINA-9910827291803321
Lin Huaxin <1956->  
Providence, Rhode Island : , : American Mathematical Society, , 2014
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Products of reflections in U(p, q) / / Dragomir Ž Djoković and Jerry G. Malzan
Products of reflections in U(p, q) / / Dragomir Ž Djoković and Jerry G. Malzan
Autore Djoković Dragomir Ž
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [1982]
Descrizione fisica 1 online resource (90 p.)
Disciplina 510 s
512/.22
Collana Memoirs of the American Mathematical Society
Soggetto topico Unitary groups
Group theory - Reflections
ISBN 1-4704-0666-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Table of Contents -- Introduction -- 1 Types and Conjugacy Classes -- 2 Matrix Representation of Types -- 3 Positive Reflections -- 4 Basic Equation -- 5 Contributions of Indecomposable Types -- 6 The Invariant -- 7 Lemmas -- 8 Loxodromic Types -- 9 Pseudo-Loxodromic Types -- 10 Classification of Types -- 11 Types of the First Kind -- 12 Types of the Second Kind -- 13 The Main Theorem -- 14 Lengths using both types of Reflections -- Reference.
Record Nr. UNINA-9910788896703321
Djoković Dragomir Ž  
Providence, Rhode Island : , : American Mathematical Society, , [1982]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui