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Automorphic Forms on Adele Groups. (AM-83), Volume 83 / / Stephen S. Gelbart
| Automorphic Forms on Adele Groups. (AM-83), Volume 83 / / Stephen S. Gelbart |
| Autore | Gelbart Stephen S. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (280 pages) |
| Disciplina | 512/.22 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Representations of groups
Automorphic forms Linear algebraic groups Adeles |
| Soggetto non controllato |
Abelian extension
Abelian group Absolute value Addition Additive group Algebraic group Algebraic number field Algebraic number theory Analytic continuation Analytic function Arbitrarily large Automorphic form Cartan subgroup Class field theory Complex space Congruence subgroup Conjugacy class Coprime integers Cusp form Differential equation Dimension (vector space) Direct integral Direct sum Division algebra Eigenfunction Eigenvalues and eigenvectors Eisenstein series Euler product Existential quantification Exponential function Factorization Finite field Formal power series Fourier series Fourier transform Fuchsian group Function (mathematics) Function space Functional equation Fundamental unit (number theory) Galois extension Global field Group algebra Group representation Haar measure Harish-Chandra Hecke L-function Hilbert space Homomorphism Induced representation Infinite product Inner automorphism Integer Invariant measure Invariant subspace Irreducible representation L-function Lie algebra Linear map Matrix coefficient Mellin transform Meromorphic function Modular form P-adic number Poisson summation formula Prime ideal Prime number Principal series representation Projective representation Quadratic field Quadratic form Quaternion algebra Quaternion Real number Regular representation Representation theory Ring (mathematics) Ring of integers Scientific notation Selberg trace formula Simple algebra Square-integrable function Sub"ient Subgroup Summation Theorem Theory Theta function Topological group Topology Trace formula Trivial representation Uniqueness theorem Unitary operator Unitary representation Universal enveloping algebra Upper half-plane Variable (mathematics) Vector space Weil group |
| ISBN | 1-4008-8161-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- §1. THE CLASSICAL THEORY -- §2. AUTOMORPHIC FORMS AND THE DECOMPOSITION OF L2(ΓSL(2,ℝ)) -- §3. AUTOMORPHIC FORMS AS FUNCTIONS ON THE ADELE GROUP OF GL(2) -- §4. THE REPRESENTATIONS OF GL(2) OVER LOCAL AND GLOBAL FIELDS -- §5 . CUSP FORMS AND REPRESENTATIONS OF THE ADELE GROUP OF GL(2) -- §6. HECKE THEORY FOR GL(2) -- §7 . THE CONSTRUCTION OF A SPECIAL CLASS OF AUTOMORPHIC FORMS -- § 8 . EISENSTEIN SERIES AND THE CONTINUOUS SPECTRUM -- §9. THE TRACE FORMULA FOR GL(2) -- §10. AUTOMORPHIC FORMS ON A QUATERNION ALGEBRA -- BIBLIOGRAPHY -- INDEX |
| Record Nr. | UNINA-9910154753203321 |
Gelbart Stephen S.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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 |
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Rogawski Jonathan David
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Euler systems / / by Karl Rubin
| Euler systems / / by Karl Rubin |
| Autore | Rubin Karl |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Chichester, England : , : Princeton University Press, , 2000 |
| Descrizione fisica | 1 online resource (241 p.) |
| Disciplina | 512/.74 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Algebraic number theory
p-adic numbers |
| Soggetto non controllato |
Abelian extension
Abelian variety Absolute Galois group Algebraic closure Barry Mazur Big O notation Birch and Swinnerton-Dyer conjecture Cardinality Class field theory Coefficient Cohomology Complex multiplication Conjecture Corollary Cyclotomic field Dimension (vector space) Divisibility rule Eigenvalues and eigenvectors Elliptic curve Error term Euler product Euler system Exact sequence Existential quantification Field of fractions Finite set Functional equation Galois cohomology Galois group Galois module Gauss sum Global field Heegner point Ideal class group Integer Inverse limit Inverse system Karl Rubin Local field Mathematical induction Maximal ideal Modular curve Modular elliptic curve Natural number Orthogonality P-adic number Pairing Principal ideal R-factor (crystallography) Ralph Greenberg Remainder Residue field Ring of integers Scientific notation Selmer group Subgroup Tate module Taylor series Tensor product Theorem Upper and lower bounds Victor Kolyvagin |
| ISBN |
0-691-05075-9
1-4008-6520-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Acknowledgments / Rubin, Karl -- Introduction -- Chapter 1. Galois Cohomology of p-adic Representations -- Chapter 2. Euler Systems: Definition and Main Results -- Chapter 3. Examples and Applications -- Chapter 4. Derived Cohomology Classes -- Chapter 5. Bounding the Selmer Group -- Chapter 6. Twisting -- Chapter 7. Iwasawa Theory -- Chapter 8. Euler Systems and p-adic L-functions -- Chapter 9. Variants -- Appendix A. Linear Algebra -- Appendix B. Continuous Cohomology and Inverse Limits -- Appendix C. Cohomology of p-adic Analytic Groups -- Appendix D. p-adic Calculations in Cyclotomic Fields -- Bibliography -- Index of Symbols -- Subject Index |
| Record Nr. | UNINA-9910786510103321 |
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Rubin Karl
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| Princeton, New Jersey ; ; Chichester, England : , : Princeton University Press, , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Euler systems / / by Karl Rubin
| Euler systems / / by Karl Rubin |
| Autore | Rubin Karl |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Chichester, England : , : Princeton University Press, , 2000 |
| Descrizione fisica | 1 online resource (241 p.) |
| Disciplina | 512/.74 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Algebraic number theory
p-adic numbers |
| Soggetto non controllato |
Abelian extension
Abelian variety Absolute Galois group Algebraic closure Barry Mazur Big O notation Birch and Swinnerton-Dyer conjecture Cardinality Class field theory Coefficient Cohomology Complex multiplication Conjecture Corollary Cyclotomic field Dimension (vector space) Divisibility rule Eigenvalues and eigenvectors Elliptic curve Error term Euler product Euler system Exact sequence Existential quantification Field of fractions Finite set Functional equation Galois cohomology Galois group Galois module Gauss sum Global field Heegner point Ideal class group Integer Inverse limit Inverse system Karl Rubin Local field Mathematical induction Maximal ideal Modular curve Modular elliptic curve Natural number Orthogonality P-adic number Pairing Principal ideal R-factor (crystallography) Ralph Greenberg Remainder Residue field Ring of integers Scientific notation Selmer group Subgroup Tate module Taylor series Tensor product Theorem Upper and lower bounds Victor Kolyvagin |
| ISBN |
0-691-05075-9
1-4008-6520-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Acknowledgments / Rubin, Karl -- Introduction -- Chapter 1. Galois Cohomology of p-adic Representations -- Chapter 2. Euler Systems: Definition and Main Results -- Chapter 3. Examples and Applications -- Chapter 4. Derived Cohomology Classes -- Chapter 5. Bounding the Selmer Group -- Chapter 6. Twisting -- Chapter 7. Iwasawa Theory -- Chapter 8. Euler Systems and p-adic L-functions -- Chapter 9. Variants -- Appendix A. Linear Algebra -- Appendix B. Continuous Cohomology and Inverse Limits -- Appendix C. Cohomology of p-adic Analytic Groups -- Appendix D. p-adic Calculations in Cyclotomic Fields -- Bibliography -- Index of Symbols -- Subject Index |
| Record Nr. | UNINA-9910816804403321 |
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Rubin Karl
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| Princeton, New Jersey ; ; Chichester, England : , : Princeton University Press, , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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K-Theory of Forms. (AM-98), Volume 98 / / Anthony Bak
| K-Theory of Forms. (AM-98), Volume 98 / / Anthony Bak |
| Autore | Bak Anthony |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (280 pages) |
| Disciplina | 512/.55 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
K-theory
Modules (Algebra) Forms (Mathematics) |
| Soggetto non controllato |
Abelian group
Addition Algebraic K-theory Algebraic topology Approximation Arithmetic Canonical map Coefficient Cokernel Computation Coprime integers Coset Direct limit Direct product Division ring Elementary matrix Exact sequence Finite group Finite ring Free module Functor General linear group Global field Group homomorphism Group ring Homology (mathematics) Integer Invertible matrix Isomorphism class K-theory Linear map Local field Matrix group Maxima and minima Mayer–Vietoris sequence Module (mathematics) Monoid Morphism Natural transformation Normal subgroup P-group Parameter Power of two Product category Projective module Quadratic form Requirement Ring of integers Semisimple algebra Sesquilinear form Special case Steinberg group (K-theory) Steinberg group Subcategory Subgroup Subspace topology Surjective function Theorem Theory Topological group Topological ring Topology Torsion subgroup Triviality (mathematics) Unification (computer science) Unitary group Witt group |
| ISBN | 1-4008-8141-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- §1. INTRODUCTION -- §2. HYPERBOLIC AND METABOLIC MODULES -- §3. AUTOMORPHISM GROUPS OF NONSINGULAR MODULES -- §4. K-THEORY GROUPS OF NONSINGULAR MODULES -- §5. HOMOLOGY EXACT SEQUENCES -- §6. K-THEORY IN CATEGORIES WITH PRODUCT -- §7. K-THEORY OF NONSINGULAR AND PROJECTIVE MODULES -- §8. COMPARISON EXACT SEQUENCES -- §9. SCALING AND MORITA THEORY -- §10. REDUCTION MODULO A COMPLETE IDEAL -- §11. CHANGE OF FORM PARAMETER -- §12. INDUCTION THEORY -- §13. ALTERNATE DEFINITIONS OF QUADRATIC MODULES -- §14. REMARKS ON NOTATION -- §15. WALL'S SURGERY GROUPS -- BIBLIOGRAPHY -- SUBJECT INDEX -- NOTATION INDEX -- Backmatter |
| Record Nr. | UNINA-9910154747603321 |
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Bak Anthony
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120), Volume 120 / / Laurent Clozel, James Arthur
| Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120), Volume 120 / / Laurent Clozel, James Arthur |
| Autore | Arthur James |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (248 pages) : illustrations |
| Disciplina | 512/.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Representations of groups
Trace formulas Automorphic forms |
| Soggetto non controllato |
0E
Addition Admissible representation Algebraic group Algebraic number field Approximation Archimedean property Automorphic form Automorphism Base change Big O notation Binomial coefficient Canonical map Cartan subalgebra Cartan subgroup Central simple algebra Characteristic polynomial Closure (mathematics) Combination Computation Conjecture Conjugacy class Connected component (graph theory) Continuous function Contradiction Corollary Counting Coxeter element Cusp form Cyclic permutation Dense set Density theorem Determinant Diagram (category theory) Discrete series representation Discrete spectrum Division algebra Eigenvalues and eigenvectors Eisenstein series Exact sequence Existential quantification Field extension Finite group Finite set Fourier transform Functor Fundamental lemma (Langlands program) Galois extension Galois group Global field Grothendieck group Group representation Haar measure Harmonic analysis Hecke algebra Hilbert's Theorem 90 Identity component Induced representation Infinite product Infinitesimal character Invariant measure Irreducibility (mathematics) Irreducible representation L-function Langlands classification Laurent series Lie algebra Lie group Linear algebraic group Local field Mathematical induction Maximal compact subgroup Multiplicative group Nilpotent group Orbital integral P-adic number Paley–Wiener theorem Parameter Parametrization Permutation Poisson summation formula Real number Reciprocal lattice Reductive group Root of unity Scientific notation Semidirect product Special case Spherical harmonics Subgroup Subset Summation Support (mathematics) Tensor product Theorem Trace formula Unitary representation Weil group Weyl group Zero of a function |
| ISBN | 1-4008-8240-0 |
| Classificazione | SK 240 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 1. Local Results -- Chapter 2. The Global Comparison -- Chapter 3. Base Change -- Bibliography |
| Record Nr. | UNINA-9910154743703321 |
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Arthur James
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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