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] | ||
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Lo trovi qui: Univ. Federico II | ||
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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] | ||
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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 |
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
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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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 |
Gorodnik Alexander <1975->
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Princeton, N.J., : Princeton University Press, 2009 | ||
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Lo trovi qui: Univ. Federico II | ||
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Essentials of measure theory / Carlos S. Kubrusly |
Autore | Kubrusly, Carlos S. |
Pubbl/distr/stampa | [Cham], : Springer, 2015 |
Descrizione fisica | XIII, 279 p. ; 24 cm |
Soggetto topico |
28Bxx - Set functions, measures and integrals with values in abstract spaces [MSC 2020]
28Axx - Classical measure theory [MSC 2020] 46Gxx - Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) [MSC 2020] 28Cxx - Set functions and measures on spaces with additional structure [MSC 2020] |
Soggetto non controllato |
Borel measure
Haar measure Lebesgue measure Lp spaces Measurable functions Measure and integration Measure theory textbook adoption Measures on topological spaces Monotone convergence theorem Real-valued functions Riesz representation theorem Sigma-algebra |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN0113744 |
Kubrusly, Carlos S.
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[Cham], : Springer, 2015 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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Essentials of measure theory / Carlos S. Kubrusly |
Autore | Kubrusly, Carlos S. |
Pubbl/distr/stampa | [Cham], : Springer, 2015 |
Descrizione fisica | XIII, 279 p. ; 24 cm |
Soggetto topico |
28Axx - Classical measure theory [MSC 2020]
28Bxx - Set functions, measures and integrals with values in abstract spaces [MSC 2020] 28Cxx - Set functions and measures on spaces with additional structure [MSC 2020] 46Gxx - Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) [MSC 2020] |
Soggetto non controllato |
Borel measure
Haar measure Lebesgue measure Lp spaces Measurable functions Measure and integration Measure theory textbook adoption Measures on topological spaces Monotone convergence theorem Real-valued functions Riesz representation theorem Sigma-algebra |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN00113744 |
Kubrusly, Carlos S.
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[Cham], : Springer, 2015 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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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 |
Auslander Louis
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Lie Groups / Luiz A. B. San Martin ; Translated from the Portuguese by José Emílio Maiorino and Carlos Augusto Bassani Varea |
Autore | San Martin, Luiz A. B. |
Pubbl/distr/stampa | Cham, : Springer, 2021 |
Descrizione fisica | xiv, 371 p. : ill. ; 24 cm |
Soggetto topico |
22-XX - Topological groups, Lie groups [MSC 2020]
17B30 - Solvable, nilpotent (super)algebras [MSC 2020] 22E46 - Semisimple Lie groups and their representations [MSC 2020] 22E45 - Representations of Lie and linear algebraic groups over real fields: analytic methods [MSC 2020] 22E25 - Nilpotent and solvable Lie groups [MSC 2020] 17B05 - Structure theory for Lie algebras and superalgebras [MSC 2020] 17B20 - Simple, semisimple, reductive (super)algebras [MSC 2020] 22E60 - Lie algebras of Lie groups [MSC 2020] 22Cxx - Compact groups [MSC 2020] 17B22 - Root systems [MSC 2020] |
Soggetto non controllato |
Compact groups
Enveloping algebras Haar measure Homomorphism Lie Algebras Lie group action Lie groups Nilpotent Topological groups |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN0274881 |
San Martin, Luiz A. B.
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Cham, : Springer, 2021 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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Lie Groups / Luiz A. B. San Martin ; Translated from the Portuguese by José Emílio Maiorino and Carlos Augusto Bassani Varea |
Autore | San Martin, Luiz A. B. |
Pubbl/distr/stampa | Cham, : Springer, 2021 |
Descrizione fisica | xiv, 371 p. : ill. ; 24 cm |
Soggetto topico |
17B05 - Structure theory for Lie algebras and superalgebras [MSC 2020]
17B20 - Simple, semisimple, reductive (super)algebras [MSC 2020] 17B22 - Root systems [MSC 2020] 17B30 - Solvable, nilpotent (super)algebras [MSC 2020] 22-XX - Topological groups, Lie groups [MSC 2020] 22Cxx - Compact groups [MSC 2020] 22E25 - Nilpotent and solvable Lie groups [MSC 2020] 22E45 - Representations of Lie and linear algebraic groups over real fields: analytic methods [MSC 2020] 22E46 - Semisimple Lie groups and their representations [MSC 2020] 22E60 - Lie algebras of Lie groups [MSC 2020] |
Soggetto non controllato |
Compact groups
Enveloping algebras Haar measure Homomorphism Lie Algebras Lie groups Nilpotent Topological groups |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN00274881 |
San Martin, Luiz A. B.
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Cham, : Springer, 2021 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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On the cohomology of certain noncompact Shimura varieties [[electronic resource] /] / Sophie Morel; with an appendix by Robert Kottwitz |
Autore | Morel Sophie <1979-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, c2010 |
Descrizione fisica | 1 online resource (231 p.) |
Disciplina | 516.3/52 |
Collana | Annals of mathematics |
Soggetto topico |
Shimura varieties
Homology theory |
Soggetto non controllato |
Accuracy and precision
Adjoint Algebraic closure Archimedean property Automorphism Base change map Base change Calculation Clay Mathematics Institute Coefficient Compact element Compact space Comparison theorem Conjecture Connected space Connectedness Constant term Corollary Duality (mathematics) Existential quantification Exterior algebra Finite field Finite set Fundamental lemma (Langlands program) Galois group General linear group Haar measure Hecke algebra Homomorphism L-function Logarithm Mathematical induction Mathematician Maximal compact subgroup Maximal ideal Morphism Neighbourhood (mathematics) Open set Parabolic induction Permutation Prime number Ramanujan–Petersson conjecture Reductive group Ring (mathematics) Scientific notation Shimura variety Simply connected space Special case Sub"ient Subalgebra Subgroup Symplectic group Theorem Trace formula Unitary group Weyl group |
ISBN |
1-282-45800-0
1-282-93632-8 9786612936326 9786612458002 1-4008-3539-9 |
Classificazione | SI 830 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. The fixed point formula -- Chapter 2. The groups -- Chapter 3. Discrete series -- Chapter 4. Orbital integrals at p -- Chapter 5. The geometric side of the stable trace formula -- Chapter 6. Stabilization of the fixed point formula -- Chapter 7. Applications -- Chapter 8. The twisted trace formula -- Chapter 9. The twisted fundamental lemma -- Appendix. Comparison of two versions of twisted transfer factors -- Bibliography -- Index |
Record Nr. | UNINA-9910780861803321 |
Morel Sophie <1979->
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Princeton, : Princeton University Press, c2010 | ||
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Lo trovi qui: Univ. Federico II | ||
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