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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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The ergodic theory of lattice subgroups [[electronic resource] /] / Alexander Gorodnik and Amos Nevo
| The ergodic theory of lattice subgroups [[electronic resource] /] / Alexander Gorodnik and Amos Nevo |
| Autore | Gorodnik Alexander <1975-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2009 |
| Descrizione fisica | 1 online resource (136 p.) |
| Disciplina | 515/.48 |
| Altri autori (Persone) | NevoAmos <1966-> |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Ergodic theory
Lie groups Lattice theory Harmonic analysis Dynamics |
| Soggetto non controllato |
Absolute continuity
Algebraic group Amenable group Asymptote Asymptotic analysis Asymptotic expansion Automorphism Borel set Bounded function Bounded operator Bounded set (topological vector space) Congruence subgroup Continuous function Convergence of random variables Convolution Coset Counting problem (complexity) Counting Differentiable function Dimension (vector space) Diophantine approximation Direct integral Direct product Discrete group Embedding Equidistribution theorem Ergodic theory Ergodicity Estimation Explicit formulae (L-function) Family of sets Haar measure Hilbert space Hyperbolic space Induced representation Infimum and supremum Initial condition Interpolation theorem Invariance principle (linguistics) Invariant measure Irreducible representation Isometry group Iwasawa group Lattice (group) Lie algebra Linear algebraic group Linear space (geometry) Lipschitz continuity Mass distribution Mathematical induction Maximal compact subgroup Maximal ergodic theorem Measure (mathematics) Mellin transform Metric space Monotonic function Neighbourhood (mathematics) Normal subgroup Number theory One-parameter group Operator norm Orthogonal complement P-adic number Parametrization Parity (mathematics) Pointwise convergence Pointwise Principal homogeneous space Principal series representation Probability measure Probability space Probability Rate of convergence Regular representation Representation theory Resolution of singularities Sobolev space Special case Spectral gap Spectral method Spectral theory Square (algebra) Subgroup Subsequence Subset Symmetric space Tensor algebra Tensor product Theorem Transfer principle Unit sphere Unit vector Unitary group Unitary representation Upper and lower bounds Variable (mathematics) Vector group Vector space Volume form Word metric |
| ISBN |
1-282-30380-5
9786612303807 1-4008-3106-7 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Main results: Semisimple Lie groups case -- Chapter Two. Examples and applications -- Chapter Three. Definitions, preliminaries, and basic tools -- Chapter Four. Main results and an overview of the proofs -- Chapter Five. Proof of ergodic theorems for S-algebraic groups -- Chapter Six. Proof of ergodic theorems for lattice subgroups -- Chapter Seven. Volume estimates and volume regularity -- Chapter Eight. Comments and complements -- Bibliography -- Index |
| Record Nr. | UNINA-9910781200803321 |
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Gorodnik Alexander <1975->
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| Princeton, N.J., : Princeton University Press, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The ergodic theory of lattice subgroups [[electronic resource] /] / Alexander Gorodnik and Amos Nevo
| The ergodic theory of lattice subgroups [[electronic resource] /] / Alexander Gorodnik and Amos Nevo |
| Autore | Gorodnik Alexander <1975-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2009 |
| Descrizione fisica | 1 online resource (136 p.) |
| Disciplina | 515/.48 |
| Altri autori (Persone) | NevoAmos <1966-> |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Ergodic theory
Lie groups Lattice theory Harmonic analysis Dynamics |
| Soggetto non controllato |
Absolute continuity
Algebraic group Amenable group Asymptote Asymptotic analysis Asymptotic expansion Automorphism Borel set Bounded function Bounded operator Bounded set (topological vector space) Congruence subgroup Continuous function Convergence of random variables Convolution Coset Counting problem (complexity) Counting Differentiable function Dimension (vector space) Diophantine approximation Direct integral Direct product Discrete group Embedding Equidistribution theorem Ergodic theory Ergodicity Estimation Explicit formulae (L-function) Family of sets Haar measure Hilbert space Hyperbolic space Induced representation Infimum and supremum Initial condition Interpolation theorem Invariance principle (linguistics) Invariant measure Irreducible representation Isometry group Iwasawa group Lattice (group) Lie algebra Linear algebraic group Linear space (geometry) Lipschitz continuity Mass distribution Mathematical induction Maximal compact subgroup Maximal ergodic theorem Measure (mathematics) Mellin transform Metric space Monotonic function Neighbourhood (mathematics) Normal subgroup Number theory One-parameter group Operator norm Orthogonal complement P-adic number Parametrization Parity (mathematics) Pointwise convergence Pointwise Principal homogeneous space Principal series representation Probability measure Probability space Probability Rate of convergence Regular representation Representation theory Resolution of singularities Sobolev space Special case Spectral gap Spectral method Spectral theory Square (algebra) Subgroup Subsequence Subset Symmetric space Tensor algebra Tensor product Theorem Transfer principle Unit sphere Unit vector Unitary group Unitary representation Upper and lower bounds Variable (mathematics) Vector group Vector space Volume form Word metric |
| ISBN |
1-282-30380-5
9786612303807 1-4008-3106-7 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Main results: Semisimple Lie groups case -- Chapter Two. Examples and applications -- Chapter Three. Definitions, preliminaries, and basic tools -- Chapter Four. Main results and an overview of the proofs -- Chapter Five. Proof of ergodic theorems for S-algebraic groups -- Chapter Six. Proof of ergodic theorems for lattice subgroups -- Chapter Seven. Volume estimates and volume regularity -- Chapter Eight. Comments and complements -- Bibliography -- Index |
| Record Nr. | UNINA-9910825184303321 |
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Gorodnik Alexander <1975->
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| Princeton, N.J., : Princeton University Press, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Flows on Homogeneous Spaces. (AM-53), Volume 53 / / L. Green, F. Hahn, Louis Auslander
| Flows on Homogeneous Spaces. (AM-53), Volume 53 / / L. Green, F. Hahn, Louis Auslander |
| Autore | Auslander Louis |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (121 pages) |
| Disciplina | 516 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Topological dynamics |
| Soggetto non controllato |
Additive group
Affine space Automorphism Change of basis Characteristic class Cohomology Combination Compact space Complex number Complexification Constant function Continuous function Corollary Coset Dense set Diagram (category theory) Dimension (vector space) Dimension Diophantine approximation Direct integral Direct sum Eigenfunction Eigenvalues and eigenvectors Empty set Ergodic theory Ergodicity Euclidean space Exact sequence Existential quantification Exponential function Exponential map (Lie theory) Fiber bundle Finite set Fundamental domain Fundamental group General position Geodesic Group representation Haar measure Hausdorff space Hilbert space Homeomorphism Homogeneous coordinates Homogeneous space Homomorphism Horocycle Identity component Imaginary number Induced representation Integer Invariant measure Irreducible component Lebesgue measure Lie algebra Lie group Linear fractional transformation Locally compact group Mathematical induction Measure (mathematics) Morphism Nilpotent Lie algebra Nilpotent group Nilpotent Non-abelian Normal subgroup One-dimensional space One-parameter group Open set Phase space Pointwise Projection (linear algebra) Regular element Remainder Representation theory Riemannian manifold Root system Semidirect product Solvable Lie algebra Solvable group Special case Stone's theorem Subalgebra Subgroup Subset Tangent space Tangent vector Theorem Three-dimensional space (mathematics) Topological group Topology Transformation matrix Transitive relation Two-dimensional space Unit sphere Unit vector Unitary operator Unitary representation Unitary transformation Vector space Without loss of generality |
| ISBN | 1-4008-8202-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- INTRODUCTION -- CONTENTS -- CHAPTER I. AN OUTLINE OF RESULTS ON SOLVMANIFOLDS / Auslander, Louis -- CHAPTER II. ERGODIC THEORY AND GROUP REPRESENTATIONS / Green, L. -- CHAPTER III. FLOWS ON SOME THREE DIMENSIONAL HOMOGENEOUS SPACES / Auslander, L. / Green, L. / Hahn, F. -- APPENDIX TO III. ON THE FUNDAMENTAL GROUP OF CERTAIN FIBRE SPACES / Massey, W. -- CHAPTER IV. MINIMAL FLOWS ON NILMANIFOLDS / Auslander, L. / Hahn, F. / Markus, L. -- CHAPTER V. NILFLOWS, MEASURE THEORY / Green, L. -- CHAPTER VI. FLOWS ON CERTAIN SOLVMANIFOLDS NOT OF TYPE E / Auslander, L. / Hahn, F. -- CHAPTER VII. FLOWS IN TYPE (E) SOLVMANIFOLDS / Green, L. -- APPENDIX TO VII. A THEOREM ON DISCRETE SUBGROUPS OF SOLVABLE GROUPS OF TYPE (E) / Auslander, L. -- CHAPTER VIII. AN APPLICATION OF NILFLOWS TO DIOPHANTINE APPROXIMATIONS / Auslander, L. / Hahn, F. -- CHAPTER IX. DISCRETE GROUPS WITH DENSE ORBITS / Greenberg, Leon -- BIBLIOGRAPHY |
| Record Nr. | UNINA-9910154748203321 |
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Auslander Louis
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Harmonic Analysis in Phase Space. (AM-122), Volume 122 / / Gerald B. Folland
| Harmonic Analysis in Phase Space. (AM-122), Volume 122 / / Gerald B. Folland |
| Autore | Folland Gerald B. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (289 pages) : illustrations |
| Disciplina | 530.1/3 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Phase space (Statistical physics)
Harmonic analysis |
| Soggetto non controllato |
Analytic continuation
Analytic function Antisymmetric tensor Asymptotic expansion Automorphism Bilinear form Bounded operator Calculation Canonical commutation relation Canonical transformation Cauchy–Riemann equations Cayley transform Class function (algebra) Classical mechanics Commutative property Complex analysis Configuration space Differential equation Differential geometry Differential operator Eigenvalues and eigenvectors Equation Explicit formula Fock space Fourier analysis Fourier integral operator Fourier transform Functional analysis Gaussian function Gaussian integral Geometric quantization Hamiltonian mechanics Hamiltonian vector field Harmonic analysis Heisenberg group Hermite polynomials Hermitian symmetric space Hilbert space Hilbert transform Integral transform Invariant subspace Irreducible representation Lebesgue measure Lie algebra Lie superalgebra Lie theory Mathematical physics Number theory Observable Ordinary differential equation Orthonormal basis Oscillator representation Oscillatory integral Partial differential equation Phase factor Phase space Point at infinity Poisson bracket Polynomial Power series Probability Projection (linear algebra) Projective Hilbert space Projective representation Projective space Pseudo-differential operator Pullback (category theory) Quadratic function Quantum harmonic oscillator Quantum mechanics Representation theory Schrödinger equation Self-adjoint operator Semigroup Several complex variables Siegel disc Sobolev space Spectral theorem Spectral theory State-space representation Stone's theorem Stone–Weierstrass theorem Summation Symmetric space Symmetric tensor Symplectic geometry Symplectic group Symplectic vector space Symplectomorphism Tangent space Tangent vector Theorem Translational symmetry Unbounded operator Unit vector Unitarity (physics) Unitary operator Unitary representation Variable (mathematics) Wave packet |
| ISBN | 1-4008-8242-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE -- PROLOGUE. SOME MATTERS OF NOTATION -- CHAPTER 1. THE HEISENBERG GROUP AND ITS REPRESENTATIONS -- CHAPTER 2. QUANTIZATION AND PSEUDODIFFERENTIAL OPERATORS -- CHAPTER 3. WAVE PACKETS AND WAVE FRONTS -- CHAPTER 4. THE METAPLECTIC REPRESENTATION -- CHAPTER 5. THE OSCILLATOR SEMIGROUP -- APPENDIX A. GAUSSIAN INTEGRALS AND A LEMMA ON DETERMINANTS -- APPENDIX B. SOME HILBERT SPACE RESULTS -- BIBLIOGRAPHY -- INDEX |
| Record Nr. | UNINA-9910154752303321 |
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Folland Gerald B.
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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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Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63), Volume 63 / / Elias M. Stein
| Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63), Volume 63 / / Elias M. Stein |
| Autore | Stein Elias M. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (160 pages) |
| Disciplina | 515.2433 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Harmonic analysis
Littlewood-Paley theory Lie groups Semigroups |
| Soggetto non controllato |
Addition
Analytic function Axiom Boundary value problem Central limit theorem Change of variables Circle group Classification theorem Commutative property Compact group Complex analysis Convex set Coset Covering space Derivative Differentiable manifold Differential geometry Differential operator Dimension (vector space) Dimension Direct sum E6 (mathematics) E7 (mathematics) E8 (mathematics) Elementary proof Equation Equivalence class Existence theorem Existential quantification Fourier analysis Fourier series Fourier transform Function space General linear group Haar measure Harmonic analysis Harmonic function Hermite polynomials Hilbert transform Homogeneous space Homomorphism Ideal (ring theory) Identity matrix Indecomposability Integral transform Invariant measure Invariant subspace Irreducibility (mathematics) Irreducible representation Lebesgue measure Legendre polynomials Lie algebra Lie group Linear combination Linear map Local diffeomorphism Markov process Martingale (probability theory) Matrix group Measurable function Measure (mathematics) Multiple integral Normal subgroup One-dimensional space Open set Ordinary differential equation Orthogonality Orthonormality Parseval's theorem Partial differential equation Probability space Quadratic form Rank of a group Regular representation Riemannian manifold Riesz transform Schur orthogonality relations Scientific notation Semigroup Sequence Special case Stone–Weierstrass theorem Sturm–Liouville theory Subgroup Subset Summation Tensor algebra Tensor product Theorem Theory Topological group Topological space Torus Trigonometric polynomial Trivial representation Uniform convergence Unitary operator Unitary representation Vector field Vector space |
| ISBN | 1-4008-8187-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- Introduction -- Chapter I: Lie Groups (A Review) -- Chapter II: Littlewood-Paley Theory for a Compact Lie Group -- Chapter III: General Symmetric Diffusion Semi-Groups -- Chapter IV: The General Littlewood-Paley Theory -- Chapter V: Further Illustrations -- References -- Appendix (1985) |
| Record Nr. | UNINA-9910154742803321 |
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Stein Elias M.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Unitary Representations of Reductive Lie Groups. (AM-118), Volume 118 / / David A. Vogan
| Unitary Representations of Reductive Lie Groups. (AM-118), Volume 118 / / David A. Vogan |
| Autore | Vogan David A. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (320 pages) |
| Disciplina | 512/.55 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Lie groups
Representations of Lie groups |
| Soggetto non controllato |
Abelian group
Adjoint representation Annihilator (ring theory) Atiyah–Singer index theorem Automorphic form Automorphism Cartan subgroup Circle group Class function (algebra) Classification theorem Cohomology Commutator subgroup Complete metric space Complex manifold Conjugacy class Cotangent space Dimension (vector space) Discrete series representation Dixmier conjecture Dolbeault cohomology Duality (mathematics) Eigenvalues and eigenvectors Exponential map (Lie theory) Exponential map (Riemannian geometry) Exterior algebra Function space Group homomorphism Harmonic analysis Hecke algebra Hilbert space Hodge theory Holomorphic function Holomorphic vector bundle Homogeneous space Homomorphism Induced representation Infinitesimal character Inner automorphism Invariant subspace Irreducibility (mathematics) Irreducible representation Isometry group Isometry K-finite Kazhdan–Lusztig polynomial Langlands decomposition Lie algebra cohomology Lie algebra representation Lie algebra Lie group action Lie group Mathematical induction Maximal compact subgroup Measure (mathematics) Minkowski space Nilpotent group Orbit method Orthogonal group Parabolic induction Principal homogeneous space Principal series representation Projective space Pseudo-Riemannian manifold Pullback (category theory) Ramanujan–Petersson conjecture Reductive group Regularity theorem Representation of a Lie group Representation theorem Representation theory Riemann sphere Riemannian manifold Schwartz space Semisimple Lie algebra Sheaf (mathematics) Sign (mathematics) Special case Spectral theory Sub"ient Subgroup Support (mathematics) Symplectic geometry Symplectic group Symplectic vector space Tangent space Tautological bundle Theorem Topological group Topological space Trivial representation Unitary group Unitary matrix Unitary representation Universal enveloping algebra Vector bundle Weyl algebra Weyl character formula Weyl group Zariski's main theorem Zonal spherical function |
| ISBN | 1-4008-8238-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- ACKNOWLEDGEMENTS -- INTRODUCTION -- Chapter 1. COMPACT GROUPS AND THE BOREL-WEIL THEOREM -- Chapter 2. HARISH-CHANDRA MODULES -- Chapter 3. PARABOLIC INDUCTION -- Chapter 4. STEIN COMPLEMENTARY SERIES AND THE UNITARY DUAL OF GL(n,ℂ) -- Chapter 5. COHOMOLOGICAL PARABOLIC INDUCTION: ANALYTIC THEORY -- Chapter 6. COHOMOLOGICAL PARABOLIC INDUCTION: ALGEBRAIC THEORY -- Interlude. THE IDEA OF UNIPOTENT REPRESENTATIONS -- Chapter 7. FINITE GROUPS AND UNIPOTENT REPRESENTATIONS -- Chapter 8. LANGLANDS' PRINCIPLE OF FUNCTORIALITY AND UNIPOTENT REPRESENTATIONS -- Chapter 9. PRIMITIVE IDEALS AND UNIPOTENT REPRESENTATIONS -- Chapter 10. THE ORBIT METHOD AND UNIPOTENT REPRESENTATIONS -- Chapter 11. E-MULTIPLICITIES AND UNIPOTENT REPRESENTATIONS -- Chapter 12. ON THE DEFINITION OF UNIPOTENT REPRESENTATIONS -- Chapter 13. EXHAUSTION -- REFERENCES -- Backmatter |
| Record Nr. | UNINA-9910154742103321 |
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Vogan David A.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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