Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116 / / Nicholas M. Katz
| Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116 / / Nicholas M. Katz |
| Autore | Katz Nicholas M. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (257 pages) : illustrations |
| Disciplina | 512/.7 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Gaussian sums
Kloosterman sums Homology theory Monodromy groups |
| Soggetto non controllato |
Abelian category
Absolute Galois group Absolute value Additive group Adjoint representation Affine variety Algebraic group Automorphic form Automorphism Big O notation Cartan subalgebra Characteristic polynomial Classification theorem Coefficient Cohomology Cokernel Combination Commutator Compactification (mathematics) Complex Lie group Complex number Conjugacy class Continuous function Convolution theorem Convolution Determinant Diagonal matrix Dimension (vector space) Direct sum Dual basis Eigenvalues and eigenvectors Empty set Endomorphism Equidistribution theorem Estimation Exactness Existential quantification Exponential sum Exterior algebra Faithful representation Finite field Finite group Four-dimensional space Frobenius endomorphism Fundamental group Fundamental representation Galois group Gauss sum Homomorphism Integer Irreducibility (mathematics) Isomorphism class Kloosterman sum L-function Leray spectral sequence Lie algebra Lie theory Maximal compact subgroup Method of moments (statistics) Monodromy theorem Monodromy Morphism Multiplicative group Natural number Nilpotent Open problem P-group Pairing Parameter space Parameter Partially ordered set Perfect field Point at infinity Polynomial ring Prime number Quotient group Representation ring Representation theory Residue field Riemann hypothesis Root of unity Sheaf (mathematics) Simple Lie group Skew-symmetric matrix Smooth morphism Special case Spin representation Subgroup Support (mathematics) Symmetric matrix Symplectic group Symplectic vector space Tensor product Theorem Trace (linear algebra) Trivial representation Variable (mathematics) Weil conjectures Weyl character formula Zariski topology |
| ISBN | 1-4008-8212-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- CHAPTER 1. Breaks and Swan Conductors -- CHAPTER 2. Curves and Their Cohomology -- CHAPTER 3. Equidistribution in Equal Characteristic -- CHAPTER 4. Gauss Sums and Kloosterman Sums: Kloosterman Sheaves -- CHAPTER 5. Convolution of Sheaves on Gm -- CHAPTER 6. Local Convolution -- CHAPTER 7. Local Monodromy at Zero of a Convolution: Detailed Study -- CHAPTER 8. Complements on Convolution -- CHAPTER 9. Equidistribution in (S1)r of r-tuples of Angles of Gauss Sums -- CHAPTER 10. Local Monodromy at ∞ of Kloosterman Sheaves -- CHAPTER 11. Global Monodromy of Kloosterman Sheaves -- CHAPTER 12. Integral Monodromy of Kloosterman Sheaves (d'après O. Gabber) -- CHAPTER 13. Equidistribution of "Angles" of Kloosterman Sums -- References |
| Record Nr. | UNINA-9910154750003321 |
Katz Nicholas M.
|
||
| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 |
|
Vogan David A.
|
||
| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Weyl group multiple Dirichlet [[electronic resource] /] / Ben Brubaker, Daniel Bump, and Solomon Friedberg
| Weyl group multiple Dirichlet [[electronic resource] /] / Ben Brubaker, Daniel Bump, and Solomon Friedberg |
| Autore | Brubaker Ben <1976-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2011 |
| Descrizione fisica | 1 online resource (173 p.) |
| Disciplina | 515/.243 |
| Altri autori (Persone) |
BumpDaniel <1952->
FriedbergSolomon <1958-> |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Dirichlet series
Weyl groups |
| Soggetto genere / forma | Electronic books. |
| Soggetto non controllato |
BZL pattern
Class I. Eisenstein series Euler product Gauss sum Gelfand-Tsetlin pattern Kashiwara operator Kashiwara's crystal Knowability Lemma Kostant partition function Riemann zeta function Schur polynomial Schützenberger involution Snake Lemma Statement A. Statement B. Statement C. Statement D. Statement E. Statement F. Statement G. Tokuyama's Theorem Weyl character formula Weyl denominator Weyl group multiple Dirichlet series Weyl vector Whittaker coefficient Whittaker function Yang-Baxter equation Yang–Baxter equation accordion adele group affine linear transformation analytic continuation analytic number theory archimedean place basis vector bijection bookkeeping box-circle duality boxing canonical indexings cardinality cartoon circling class combinatorial identity concurrence critical resonance crystal base crystal graph crystal divisibility condition double sum episode equivalence relation f-packet free abelian group functional equation generating function global field ice-type model inclusion-exclusion indexing involution isomorphism knowability maximality nodal signature nonarchimedean local field noncritical resonance nonzero contribution p-adic group p-adic integral p-adic integration partition function polynomial preaccordion prototype reduced root system representation theory residue class field resonance resotope row sums row transfer matrix short pattern six-vertex model snakes statistical mechanics subsignature tableaux type Γ-equivalence class Γ-swap |
| ISBN |
1-283-01338-X
9786613013385 1-4008-3899-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter One. Type A Weyl Group Multiple Dirichlet Series -- Chapter Two. Crystals and Gelfand-Tsetlin Patterns -- Chapter Three. Duality -- Chapter Four. Whittaker Functions -- Chapter Five. Tokuyama's Theorem -- Chapter Six. Outline of the Proof -- Chapter Seven. Statement B Implies Statement A -- Chapter Eight. Cartoons -- Chapter Nine. Snakes -- Chapter Ten. Noncritical Resonances -- Chapter Eleven. Types -- Chapter Twelve. Knowability -- Chapter Thirteen. The Reduction to Statement D -- Chapter Fourteen. Statement E Implies Statement D -- Chapter Fifteen. Evaluation of ΛΓ and ΛΔ, and Statement G -- Chapter Sixteen. Concurrence -- Chapter Seventeen. Conclusion of the Proof -- Chapter Eighteen. Statement B and Crystal Graphs -- Chapter Nineteen. Statement B and the Yang-Baxter Equation -- Chapter Twenty. Crystals and p-adic Integration -- Bibliography -- Notation -- Index |
| Record Nr. | UNINA-9910459795903321 |
|
Brubaker Ben <1976->
|
||
| Princeton, N.J., : Princeton University Press, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Weyl group multiple Dirichlet [[electronic resource] /] / Ben Brubaker, Daniel Bump, and Solomon Friedberg
| Weyl group multiple Dirichlet [[electronic resource] /] / Ben Brubaker, Daniel Bump, and Solomon Friedberg |
| Autore | Brubaker Ben <1976-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2011 |
| Descrizione fisica | 1 online resource (173 p.) |
| Disciplina | 515/.243 |
| Altri autori (Persone) |
BumpDaniel <1952->
FriedbergSolomon <1958-> |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Dirichlet series
Weyl groups |
| Soggetto non controllato |
BZL pattern
Class I. Eisenstein series Euler product Gauss sum Gelfand-Tsetlin pattern Kashiwara operator Kashiwara's crystal Knowability Lemma Kostant partition function Riemann zeta function Schur polynomial Schützenberger involution Snake Lemma Statement A. Statement B. Statement C. Statement D. Statement E. Statement F. Statement G. Tokuyama's Theorem Weyl character formula Weyl denominator Weyl group multiple Dirichlet series Weyl vector Whittaker coefficient Whittaker function Yang-Baxter equation Yang–Baxter equation accordion adele group affine linear transformation analytic continuation analytic number theory archimedean place basis vector bijection bookkeeping box-circle duality boxing canonical indexings cardinality cartoon circling class combinatorial identity concurrence critical resonance crystal base crystal graph crystal divisibility condition double sum episode equivalence relation f-packet free abelian group functional equation generating function global field ice-type model inclusion-exclusion indexing involution isomorphism knowability maximality nodal signature nonarchimedean local field noncritical resonance nonzero contribution p-adic group p-adic integral p-adic integration partition function polynomial preaccordion prototype reduced root system representation theory residue class field resonance resotope row sums row transfer matrix short pattern six-vertex model snakes statistical mechanics subsignature tableaux type Γ-equivalence class Γ-swap |
| ISBN |
1-283-01338-X
9786613013385 1-4008-3899-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter One. Type A Weyl Group Multiple Dirichlet Series -- Chapter Two. Crystals and Gelfand-Tsetlin Patterns -- Chapter Three. Duality -- Chapter Four. Whittaker Functions -- Chapter Five. Tokuyama's Theorem -- Chapter Six. Outline of the Proof -- Chapter Seven. Statement B Implies Statement A -- Chapter Eight. Cartoons -- Chapter Nine. Snakes -- Chapter Ten. Noncritical Resonances -- Chapter Eleven. Types -- Chapter Twelve. Knowability -- Chapter Thirteen. The Reduction to Statement D -- Chapter Fourteen. Statement E Implies Statement D -- Chapter Fifteen. Evaluation of ΛΓ and ΛΔ, and Statement G -- Chapter Sixteen. Concurrence -- Chapter Seventeen. Conclusion of the Proof -- Chapter Eighteen. Statement B and Crystal Graphs -- Chapter Nineteen. Statement B and the Yang-Baxter Equation -- Chapter Twenty. Crystals and p-adic Integration -- Bibliography -- Notation -- Index |
| Record Nr. | UNINA-9910789812403321 |
|
Brubaker Ben <1976->
|
||
| Princeton, N.J., : Princeton University Press, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Weyl group multiple Dirichlet / / Ben Brubaker, Daniel Bump, and Solomon Friedberg
| Weyl group multiple Dirichlet / / Ben Brubaker, Daniel Bump, and Solomon Friedberg |
| Autore | Brubaker Ben <1976-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2011 |
| Descrizione fisica | 1 online resource (173 p.) |
| Disciplina | 515/.243 |
| Altri autori (Persone) |
BumpDaniel <1952->
FriedbergSolomon <1958-> |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Dirichlet series
Weyl groups |
| Soggetto non controllato |
BZL pattern
Class I. Eisenstein series Euler product Gauss sum Gelfand-Tsetlin pattern Kashiwara operator Kashiwara's crystal Knowability Lemma Kostant partition function Riemann zeta function Schur polynomial Schützenberger involution Snake Lemma Statement A. Statement B. Statement C. Statement D. Statement E. Statement F. Statement G. Tokuyama's Theorem Weyl character formula Weyl denominator Weyl group multiple Dirichlet series Weyl vector Whittaker coefficient Whittaker function Yang-Baxter equation Yang–Baxter equation accordion adele group affine linear transformation analytic continuation analytic number theory archimedean place basis vector bijection bookkeeping box-circle duality boxing canonical indexings cardinality cartoon circling class combinatorial identity concurrence critical resonance crystal base crystal graph crystal divisibility condition double sum episode equivalence relation f-packet free abelian group functional equation generating function global field ice-type model inclusion-exclusion indexing involution isomorphism knowability maximality nodal signature nonarchimedean local field noncritical resonance nonzero contribution p-adic group p-adic integral p-adic integration partition function polynomial preaccordion prototype reduced root system representation theory residue class field resonance resotope row sums row transfer matrix short pattern six-vertex model snakes statistical mechanics subsignature tableaux type Γ-equivalence class Γ-swap |
| ISBN |
1-283-01338-X
9786613013385 1-4008-3899-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter One. Type A Weyl Group Multiple Dirichlet Series -- Chapter Two. Crystals and Gelfand-Tsetlin Patterns -- Chapter Three. Duality -- Chapter Four. Whittaker Functions -- Chapter Five. Tokuyama's Theorem -- Chapter Six. Outline of the Proof -- Chapter Seven. Statement B Implies Statement A -- Chapter Eight. Cartoons -- Chapter Nine. Snakes -- Chapter Ten. Noncritical Resonances -- Chapter Eleven. Types -- Chapter Twelve. Knowability -- Chapter Thirteen. The Reduction to Statement D -- Chapter Fourteen. Statement E Implies Statement D -- Chapter Fifteen. Evaluation of ΛΓ and ΛΔ, and Statement G -- Chapter Sixteen. Concurrence -- Chapter Seventeen. Conclusion of the Proof -- Chapter Eighteen. Statement B and Crystal Graphs -- Chapter Nineteen. Statement B and the Yang-Baxter Equation -- Chapter Twenty. Crystals and p-adic Integration -- Bibliography -- Notation -- Index |
| Record Nr. | UNINA-9910824301203321 |
|
Brubaker Ben <1976->
|
||
| Princeton, N.J., : Princeton University Press, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||