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Characters of Reductive Groups over a Finite Field. (AM-107), Volume 107 / / George Lusztig
| Characters of Reductive Groups over a Finite Field. (AM-107), Volume 107 / / George Lusztig |
| Autore | Lusztig George |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (408 pages) : illustrations |
| Disciplina | 512/.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Finite groups
Finite fields (Algebra) Characters of groups |
| Soggetto non controllato |
Addition
Algebra representation Algebraic closure Algebraic group Algebraic variety Algebraically closed field Bijection Borel subgroup Cartan subalgebra Character table Character theory Characteristic function (probability theory) Characteristic polynomial Class function (algebra) Classical group Coefficient Cohomology with compact support Cohomology Combination Complex number Computation Conjugacy class Connected component (graph theory) Coxeter group Cyclic group Cyclotomic polynomial David Kazhdan Dense set Derived category Diagram (category theory) Dimension Direct sum Disjoint sets Disjoint union E6 (mathematics) Eigenvalues and eigenvectors Endomorphism Equivalence class Equivalence relation Existential quantification Explicit formula Explicit formulae (L-function) Fiber bundle Finite field Finite group Fourier transform Green's function Group (mathematics) Group action Group representation Harish-Chandra Hecke algebra Identity element Integer Irreducible representation Isomorphism class Jordan decomposition Line bundle Linear combination Local system Mathematical induction Maximal torus Module (mathematics) Monodromy Morphism Orthonormal basis P-adic number Parametrization Parity (mathematics) Partially ordered set Perverse sheaf Pointwise Polynomial Quantity Rational point Reductive group Ree group Schubert variety Scientific notation Semisimple Lie algebra Sheaf (mathematics) Simple group Simple module Special case Standard basis Subset Subtraction Summation Surjective function Symmetric group Tensor product Theorem Two-dimensional space Unipotent representation Vector bundle Vector space Verma module Weil conjecture Weyl group Zariski topology |
| ISBN | 1-4008-8177-3 |
| Classificazione | SK 260 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- 1. COMPUTATION OF LOCAL INTERSECTION COHOMOLOGY OF CERTAIN LINE BUNDLES OVER A SCHUBERT VARIETY -- 2. LOCAL INTERSECTION COHOMOLOGY WITH TWISTED COEFFICIENTS OF THE CLOSURES OF THE VARIETIES XW -- 3. GLOBAL INTERSECTION COHOMOLOGY WITH TWISTED COEFFICIENTS OF THE VARIETY X̅W -- 4. REPRESENTATIONS OF WEYL GROUPS -- 5. CELLS IN WEYL GROUPS -- 6. AN INTEGRALITY THEOREM AND A DISJOINTNESS THEOREM -- 7. SOME EXCEPTIONAL GROUPS -- 8. DECOMPOSITION OF INDUCED REPRESENTATIONS -- 9. CLASSICAL GROUPS -- 10. COMPLETION OF THE PROOF OF THEOREM 4.23 -- 11. EIGENVALUES OF FROBENIUS -- 12. ON THE STRUCTURE OF LEFT CELLS -- 13. RELATIONS WITH CONJUGACY CLASSES -- 14. CONCLUDING REMARKS -- APPENDIX -- REFERENCES -- SUBJECT INDEX -- NOTATION INDEX -- Backmatter |
| Record Nr. | UNINA-9910154752803321 |
Lusztig George
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Combinatorics of Train Tracks. (AM-125), Volume 125 / / R. C. Penner, John L. Harer
| Combinatorics of Train Tracks. (AM-125), Volume 125 / / R. C. Penner, John L. Harer |
| Autore | Penner R. C. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (233 pages) : illustrations |
| Disciplina | 511/.6 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Geodesics (Mathematics)
CW complexes Combinatorial analysis |
| Soggetto non controllato |
Ambient isotopy
Analytic function Axiom Brouwer fixed-point theorem CW complex Cantor set Cardinality Change of basis Coefficient Combinatorics Compactification (mathematics) Conjugacy class Connected component (graph theory) Connectivity (graph theory) Coordinate system Cotangent space Covering space Deformation theory Dehn twist Diffeomorphism Differential topology Disjoint sets Disjoint union Disk (mathematics) Eigenvalues and eigenvectors Embedding Equation Equivalence class (music) Equivalence class Equivalence relation Euclidean space Euler characteristic Explicit formula Explicit formulae (L-function) Fiber bundle Foliation Fuchsian group Geodesic curvature Geometry Harmonic function Homeomorphism Homotopy Horocycle Hyperbolic geometry Hyperbolic motion Hyperbolic space Incidence matrix Inequality (mathematics) Infimum and supremum Injective function Intersection (set theory) Intersection number (graph theory) Intersection number Interval (mathematics) Invariance of domain Invariant measure Jordan curve theorem Kähler manifold Lexicographical order Linear map Linear subspace Mapping class group Mathematical induction Monogon Natural topology Orientability Pair of pants (mathematics) Parallel curve Parametrization Parity (mathematics) Projective space Quadratic differential Scientific notation Sign (mathematics) Special case Spectral radius Standard basis Subsequence Subset Summation Support (mathematics) Symplectic geometry Symplectomorphism Tangent space Tangent vector Tangent Teichmüller space Theorem Topological space Topology Total order Train track (mathematics) Transitive relation Transpose Transversality (mathematics) Transverse measure Uniformization theorem Unit tangent bundle Unit vector Vector field |
| ISBN | 1-4008-8245-1 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Acknowledgements -- Chapter 1. The Basic Theor -- Chapter 2. Combinatorial Equivalence -- Chapter 3. The Structure of ML0 -- Epilogue -- Addendum. The Action of Mapping Classes on ML0 -- Bibliography |
| Record Nr. | UNINA-9910154745603321 |
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Penner R. C.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Positive definite matrices [[electronic resource] /] / Rajendra Bhatia
| Positive definite matrices [[electronic resource] /] / Rajendra Bhatia |
| Autore | Bhatia Rajendra <1952-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2007 |
| Descrizione fisica | 1 online resource (265 p.) |
| Disciplina | 512.9/434 |
| Collana | Princeton series in applied mathematics |
| Soggetto topico | Matrices |
| Soggetto non controllato |
Addition
Analytic continuation Arithmetic mean Banach space Binomial theorem Block matrix Bochner's theorem Calculation Cauchy matrix Cauchy–Schwarz inequality Characteristic polynomial Coefficient Commutative property Compact space Completely positive map Complex number Computation Continuous function Convex combination Convex function Convex set Corollary Density matrix Diagonal matrix Differential geometry Eigenvalues and eigenvectors Equation Equivalence relation Existential quantification Extreme point Fourier transform Functional analysis Fundamental theorem G. H. Hardy Gamma function Geometric mean Geometry Hadamard product (matrices) Hahn–Banach theorem Harmonic analysis Hermitian matrix Hilbert space Hyperbolic function Infimum and supremum Infinite divisibility (probability) Invertible matrix Lecture Linear algebra Linear map Logarithm Logarithmic mean Mathematics Matrix (mathematics) Matrix analysis Matrix unit Metric space Monotonic function Natural number Open set Operator algebra Operator system Orthonormal basis Partial trace Positive definiteness Positive element Positive map Positive semidefinite Positive-definite function Positive-definite matrix Probability measure Probability Projection (linear algebra) Quantity Quantum computing Quantum information Quantum statistical mechanics Real number Riccati equation Riemannian geometry Riemannian manifold Riesz representation theorem Right half-plane Schur complement Schur's theorem Scientific notation Self-adjoint operator Sign (mathematics) Special case Spectral theorem Square root Standard basis Summation Tensor product Theorem Toeplitz matrix Unit vector Unitary matrix Unitary operator Upper half-plane Variable (mathematics) |
| ISBN |
1-282-12974-0
9786612129742 1-4008-2778-7 |
| Classificazione | SK 220 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Positive Matrices -- Chapter Two. Positive Linear Maps -- Chapter Three. Completely Positive Maps -- Chapter Four. Matrix Means -- Chapter Five. Positive Definite Functions -- Chapter Six. Geometry of Positive Matrices -- Bibliography -- Index -- Notation |
| Record Nr. | UNINA-9910777727303321 |
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Bhatia Rajendra <1952->
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| Princeton, N.J., : Princeton University Press, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Positive definite matrices / / Rajendra Bhatia
| Positive definite matrices / / Rajendra Bhatia |
| Autore | Bhatia Rajendra <1952-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2007 |
| Descrizione fisica | 1 online resource (265 p.) |
| Disciplina | 512.9/434 |
| Collana | Princeton series in applied mathematics |
| Soggetto topico | Matrices |
| Soggetto non controllato |
Addition
Analytic continuation Arithmetic mean Banach space Binomial theorem Block matrix Bochner's theorem Calculation Cauchy matrix Cauchy–Schwarz inequality Characteristic polynomial Coefficient Commutative property Compact space Completely positive map Complex number Computation Continuous function Convex combination Convex function Convex set Corollary Density matrix Diagonal matrix Differential geometry Eigenvalues and eigenvectors Equation Equivalence relation Existential quantification Extreme point Fourier transform Functional analysis Fundamental theorem G. H. Hardy Gamma function Geometric mean Geometry Hadamard product (matrices) Hahn–Banach theorem Harmonic analysis Hermitian matrix Hilbert space Hyperbolic function Infimum and supremum Infinite divisibility (probability) Invertible matrix Lecture Linear algebra Linear map Logarithm Logarithmic mean Mathematics Matrix (mathematics) Matrix analysis Matrix unit Metric space Monotonic function Natural number Open set Operator algebra Operator system Orthonormal basis Partial trace Positive definiteness Positive element Positive map Positive semidefinite Positive-definite function Positive-definite matrix Probability measure Probability Projection (linear algebra) Quantity Quantum computing Quantum information Quantum statistical mechanics Real number Riccati equation Riemannian geometry Riemannian manifold Riesz representation theorem Right half-plane Schur complement Schur's theorem Scientific notation Self-adjoint operator Sign (mathematics) Special case Spectral theorem Square root Standard basis Summation Tensor product Theorem Toeplitz matrix Unit vector Unitary matrix Unitary operator Upper half-plane Variable (mathematics) |
| ISBN |
1-282-12974-0
9786612129742 1-4008-2778-7 |
| Classificazione | SK 220 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Positive Matrices -- Chapter Two. Positive Linear Maps -- Chapter Three. Completely Positive Maps -- Chapter Four. Matrix Means -- Chapter Five. Positive Definite Functions -- Chapter Six. Geometry of Positive Matrices -- Bibliography -- Index -- Notation |
| Record Nr. | UNINA-9910809021503321 |
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Bhatia Rajendra <1952->
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| Princeton, N.J., : Princeton University Press, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Radon transforms and the rigidity of the Grassmannians [[electronic resource] /] / Jacques Gasqui and Hubert Goldschmidt
| Radon transforms and the rigidity of the Grassmannians [[electronic resource] /] / Jacques Gasqui and Hubert Goldschmidt |
| Autore | Gasqui Jacques |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2004 |
| Descrizione fisica | 1 online resource (385 p.) |
| Disciplina | 515/.723 |
| Altri autori (Persone) | GoldschmidtHubert <1942-> |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Radon transforms
Grassmann manifolds |
| Soggetto non controllato |
Adjoint
Automorphism Cartan decomposition Cartan subalgebra Casimir element Closed geodesic Cohomology Commutative property Complex manifold Complex number Complex projective plane Complex projective space Complex vector bundle Complexification Computation Constant curvature Coset Covering space Curvature Determinant Diagram (category theory) Diffeomorphism Differential form Differential geometry Differential operator Dimension (vector space) Dot product Eigenvalues and eigenvectors Einstein manifold Elliptic operator Endomorphism Equivalence class Even and odd functions Exactness Existential quantification G-module Geometry Grassmannian Harmonic analysis Hermitian symmetric space Hodge dual Homogeneous space Identity element Implicit function Injective function Integer Integral Isometry Killing form Killing vector field Lemma (mathematics) Lie algebra Lie derivative Line bundle Mathematical induction Morphism Open set Orthogonal complement Orthonormal basis Orthonormality Parity (mathematics) Partial differential equation Projection (linear algebra) Projective space Quadric Quaternionic projective space Quotient space (topology) Radon transform Real number Real projective plane Real projective space Real structure Remainder Restriction (mathematics) Riemann curvature tensor Riemann sphere Riemannian manifold Rigidity (mathematics) Scalar curvature Second fundamental form Simple Lie group Standard basis Stokes' theorem Subgroup Submanifold Symmetric space Tangent bundle Tangent space Tangent vector Tensor Theorem Topological group Torus Unit vector Unitary group Vector bundle Vector field Vector space X-ray transform Zero of a function |
| ISBN |
1-282-15898-8
9786612158988 1-4008-2617-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- Chapter I. Symmetric Spaces and Einstein Manifolds -- Chapter II. Radon Transforms on Symmetric Spaces -- Chapter III. Symmetric Spaces of Rank One -- Chapter IV. The Real Grassmannians -- Chapter V. The Complex Quadric -- Chapter VI. The Rigidity of the Complex Quadric -- Chapter VII. The Rigidity of the Real Grassmannians -- Chapter VIII. The Complex Grassmannians -- Chapter IX. The Rigidity of the Complex Grassmannians -- Chapter X. Products of Symmetric Spaces -- References -- Index |
| Record Nr. | UNINA-9910778216403321 |
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Gasqui Jacques
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| Princeton, N.J., : Princeton University Press, 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Radon transforms and the rigidity of the Grassmannians / / Jacques Gasqui and Hubert Goldschmidt
| Radon transforms and the rigidity of the Grassmannians / / Jacques Gasqui and Hubert Goldschmidt |
| Autore | Gasqui Jacques |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2004 |
| Descrizione fisica | 1 online resource (385 p.) |
| Disciplina | 515/.723 |
| Altri autori (Persone) | GoldschmidtHubert <1942-> |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Radon transforms
Grassmann manifolds |
| Soggetto non controllato |
Adjoint
Automorphism Cartan decomposition Cartan subalgebra Casimir element Closed geodesic Cohomology Commutative property Complex manifold Complex number Complex projective plane Complex projective space Complex vector bundle Complexification Computation Constant curvature Coset Covering space Curvature Determinant Diagram (category theory) Diffeomorphism Differential form Differential geometry Differential operator Dimension (vector space) Dot product Eigenvalues and eigenvectors Einstein manifold Elliptic operator Endomorphism Equivalence class Even and odd functions Exactness Existential quantification G-module Geometry Grassmannian Harmonic analysis Hermitian symmetric space Hodge dual Homogeneous space Identity element Implicit function Injective function Integer Integral Isometry Killing form Killing vector field Lemma (mathematics) Lie algebra Lie derivative Line bundle Mathematical induction Morphism Open set Orthogonal complement Orthonormal basis Orthonormality Parity (mathematics) Partial differential equation Projection (linear algebra) Projective space Quadric Quaternionic projective space Quotient space (topology) Radon transform Real number Real projective plane Real projective space Real structure Remainder Restriction (mathematics) Riemann curvature tensor Riemann sphere Riemannian manifold Rigidity (mathematics) Scalar curvature Second fundamental form Simple Lie group Standard basis Stokes' theorem Subgroup Submanifold Symmetric space Tangent bundle Tangent space Tangent vector Tensor Theorem Topological group Torus Unit vector Unitary group Vector bundle Vector field Vector space X-ray transform Zero of a function |
| ISBN |
1-282-15898-8
9786612158988 1-4008-2617-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- Chapter I. Symmetric Spaces and Einstein Manifolds -- Chapter II. Radon Transforms on Symmetric Spaces -- Chapter III. Symmetric Spaces of Rank One -- Chapter IV. The Real Grassmannians -- Chapter V. The Complex Quadric -- Chapter VI. The Rigidity of the Complex Quadric -- Chapter VII. The Rigidity of the Real Grassmannians -- Chapter VIII. The Complex Grassmannians -- Chapter IX. The Rigidity of the Complex Grassmannians -- Chapter X. Products of Symmetric Spaces -- References -- Index |
| Record Nr. | UNINA-9910812650003321 |
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Gasqui Jacques
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| Princeton, N.J., : Princeton University Press, 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||