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The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129), Volume 129 / / C. Bushnell, P. C. Kutzko
| The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129), Volume 129 / / C. Bushnell, P. C. Kutzko |
| Autore | Bushnell C. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (327 pages) : illustrations |
| Disciplina | 512/.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Representations of groups
Nonstandard mathematical analysis |
| Soggetto non controllato |
Abelian group
Abuse of notation Additive group Affine Hecke algebra Algebra homomorphism Approximation Automorphism Bijection Block matrix Calculation Cardinality Classical group Computation Conjecture Conjugacy class Contradiction Corollary Coset Critical exponent Diagonal matrix Dimension (vector space) Dimension Discrete series representation Discrete valuation ring Divisor Eigenvalues and eigenvectors Equivalence class Exact sequence Exactness Existential quantification Explicit formula Explicit formulae (L-function) Field extension Finite group Functor Gauss sum General linear group Group theory Haar measure Harmonic analysis Hecke algebra Homomorphism Identity matrix Induced representation Integer Irreducible representation Isomorphism class Iwahori subgroup Jordan normal form Levi decomposition Local Langlands conjectures Local field Locally compact group Mathematics Matrix coefficient Maximal compact subgroup Maximal ideal Multiset Normal subgroup P-adic number Permutation matrix Polynomial Profinite group Quantity Rational number Reductive group Representation theory Requirement Residue field Ring (mathematics) Scientific notation Simple module Special case Sub"ient Subgroup Subset Support (mathematics) Symmetric group Tensor product Terminology Theorem Topological group Topology Vector space Weil group Weyl group |
| ISBN | 1-4008-8249-4 |
| Classificazione | SK 340 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Comments for the reader -- 1. Exactness and intertwining -- 2. The structure of simple strata -- 3. The simple characters of a simple stratum -- 4. Interlude with Hecke algebra -- 5. Simple types -- 6. Maximal types -- 7. Typical representations -- 8. Atypical representations -- References -- Index of notation and terminology |
| Record Nr. | UNINA-9910154750803321 |
Bushnell C.
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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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Introduction to Algebraic K-Theory. (AM-72), Volume 72 / / John Milnor
| Introduction to Algebraic K-Theory. (AM-72), Volume 72 / / John Milnor |
| Autore | Milnor John |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (200 pages) |
| Disciplina | 512/.4 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Associative rings
Abelian groups Functor theory |
| Soggetto non controllato |
Abelian group
Absolute value Addition Algebraic K-theory Algebraic equation Algebraic integer Banach algebra Basis (linear algebra) Big O notation Circle group Coefficient Commutative property Commutative ring Commutator Complex number Computation Congruence subgroup Coprime integers Cyclic group Dedekind domain Direct limit Direct proof Direct sum Discrete valuation Division algebra Division ring Elementary matrix Elliptic function Exact sequence Existential quantification Exterior algebra Factorization Finite group Free abelian group Function (mathematics) Fundamental group Galois extension Galois group General linear group Group extension Hausdorff space Homological algebra Homomorphism Homotopy Ideal (ring theory) Ideal class group Identity element Identity matrix Integral domain Invertible matrix Isomorphism class K-theory Kummer theory Lattice (group) Left inverse Local field Local ring Mathematics Matsumoto's theorem Maximal ideal Meromorphic function Monomial Natural number Noetherian Normal subgroup Number theory Open set Picard group Polynomial Prime element Prime ideal Projective module Quadratic form Quaternion Quotient ring Rational number Real number Right inverse Ring of integers Root of unity Schur multiplier Scientific notation Simple algebra Special case Special linear group Subgroup Summation Surjective function Tensor product Theorem Topological K-theory Topological group Topological space Topology Torsion group Variable (mathematics) Vector space Wedderburn's theorem Weierstrass function Whitehead torsion |
| ISBN | 1-4008-8179-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface and Guide to the Literature -- Contents -- §1. Projective Modules and K0Λ -- §2 . Constructing Projective Modules -- §3. The Whitehead Group K1Λ -- §4. The Exact Sequence Associated with an Ideal -- §5. Steinberg Groups and the Functor K2 -- §6. Extending the Exact Sequences -- §7. The Case of a Commutative Banach Algebra -- §8. The Product K1Λ ⊗ K1Λ K2Λ -- §9. Computations in the Steinberg Group -- §10. Computation of K2Z -- §11. Matsumoto's Computation of K2 of a Field -- 12. Proof of Matsumoto's Theorem -- §13. More about Dedekind Domains -- §14. The Transfer Homomorphism -- §15. Power Norm Residue Symbols -- §16. Number Fields -- Appendix. Continuous Steinberg Symbols -- Index |
| Record Nr. | UNINA-9910154752203321 |
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Milnor John
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| 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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Profinite Groups, Arithmetic, and Geometry. (AM-67), Volume 67 / / Stephen S. Shatz
| Profinite Groups, Arithmetic, and Geometry. (AM-67), Volume 67 / / Stephen S. Shatz |
| Autore | Shatz Stephen S. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (265 pages) |
| Disciplina | 512/.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Homology theory
Finite groups Algebraic number theory |
| Soggetto non controllato |
Abelian group
Alexander Grothendieck Algebraic closure Algebraic extension Algebraic geometry Algebraic number field Brauer group Category of abelian groups Category of sets Characterization (mathematics) Class field theory Cohomological dimension Cohomology Cokernel Commutative diagram Composition series Computation Connected component (graph theory) Coset Cup product Dedekind domain Degeneracy (mathematics) Diagram (category theory) Dimension (vector space) Diophantine geometry Discrete group Equivalence of categories Exact sequence Existential quantification Explicit formula Exponential function Family of sets Field extension Finite group Fundamental class G-module Galois cohomology Galois extension Galois group Galois module Galois theory General topology Geometry Grothendieck topology Group cohomology Group extension Group scheme Group theory Hilbert symbol Hopf algebra Ideal (ring theory) Inequality (mathematics) Injective sheaf Inner automorphism Inverse limit Kummer theory Lie algebra Linear independence Local field Mathematical induction Mathematician Mathematics Module (mathematics) Morphism Natural topology Neighbourhood (mathematics) Normal extension Normal subgroup Number theory P-adic number P-group Polynomial Pontryagin duality Power series Prime number Principal ideal Profinite group Quadratic reciprocity Quotient group Ring of integers Sheaf (mathematics) Special case Subcategory Subgroup Supernatural number Sylow theorems Tangent space Theorem Topological group Topological property Topological ring Topological space Topology Torsion group Torsion subgroup Transcendence degree Triviality (mathematics) Unique factorization domain Variable (mathematics) Vector space |
| ISBN | 1-4008-8185-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- CHAPTER I. PROFINITE GROUPS -- CHAPTER II. COHOMOLOGY OF PROFINITE GROUPS -- CHAPTER III. COHOMOLOGICAL DIMENSION -- CHAPTER IV. GALOIS COHOMOLOGY AND FIELD THEORY -- CHAPTER V. LOCAL CLASS FIELD THEORY -- CHAPTER VI. DUALITY -- BIBLIOGRAPHY |
| Record Nr. | UNINA-9910154751103321 |
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Shatz 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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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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