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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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Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127 / / Gerd Faltings
| Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127 / / Gerd Faltings |
| Autore | Faltings Gerd |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (113 pages) |
| Disciplina | 516.3/5 |
| Altri autori (Persone) | ZhangShouwu |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Geometry, Algebraic
Riemann-Roch theorems |
| Soggetto non controllato |
Addition
Adjoint Alexander Grothendieck Algebraic geometry Analytic torsion Arakelov theory Asymptote Asymptotic expansion Asymptotic formula Big O notation Cartesian coordinate system Characteristic class Chern class Chow group Closed immersion Codimension Coherent sheaf Cohomology Combination Commutator Computation Covariant derivative Curvature Derivative Determinant Diagonal Differentiable manifold Differential form Dimension (vector space) Divisor Domain of a function Dual basis E6 (mathematics) Eigenvalues and eigenvectors Embedding Endomorphism Exact sequence Exponential function Generic point Heat kernel Injective function Intersection theory K-group Levi-Civita connection Line bundle Linear algebra Local coordinates Mathematical induction Morphism Natural number Neighbourhood (mathematics) Parameter Projective space Pullback (category theory) Pullback (differential geometry) Pullback Riemannian manifold Riemann–Roch theorem Self-adjoint operator Smoothness Sobolev space Stochastic calculus Summation Supertrace Theorem Transition function Upper half-plane Vector bundle Volume form |
| ISBN | 1-4008-8247-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- LIST OF SYMBOLS -- LECTURE 1. CLASSICAL RIEMANN-ROCH THEOREM -- LECTURE 2. CHERN CLASSES OF ARITHMETIC VECTOR BUNDLES -- LECTURE 3. LAPLACIANS AND HEAT KERNELS -- LECTURE 4. THE LOCAL INDEX THEOREM FOR DIRAC OPERATORS -- LECTURE 5. NUMBER OPERATORS AND DIRECT IMAGES -- LECTURE 6. ARITHMETIC RIEMANN-ROCH THEOREM -- LECTURE 7. THE THEOREM OF BISMUT-VASSEROT -- REFERENCES |
| Record Nr. | UNINA-9910154744103321 |
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Faltings Gerd
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The structure of affine buildings [[electronic resource] /] / Richard M. Weiss
| The structure of affine buildings [[electronic resource] /] / Richard M. Weiss |
| Autore | Weiss Richard M (Richard Mark), <1946-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2009 |
| Descrizione fisica | 1 online resource (381 p.) |
| Disciplina | 512/.2 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Buildings (Group theory)
Moufang loops Automorphisms Affine algebraic groups |
| Soggetto non controllato |
Addition
Additive group Additive inverse Algebraic group Algebraic structure Ambient space Associative property Automorphism Big O notation Bijection Bilinear form Bounded set (topological vector space) Bounded set Calculation Cardinality Cauchy sequence Commutative property Complete graph Complete metric space Composition algebra Connected component (graph theory) Consistency Continuous function Coordinate system Corollary Coxeter group Coxeter–Dynkin diagram Diagram (category theory) Diameter Dimension Discrete valuation Division algebra Dot product Dynkin diagram E6 (mathematics) E7 (mathematics) E8 (mathematics) Empty set Equipollence (geometry) Equivalence class Equivalence relation Euclidean geometry Euclidean space Existential quantification Free monoid Fundamental domain Hyperplane Infimum and supremum Jacques Tits K0 Linear combination Mathematical induction Metric space Multiple edges Multiplicative inverse Number theory Octonion Parameter Permutation group Permutation Pointwise Polygon Projective line Quadratic form Quaternion Remainder Root datum Root system Scientific notation Sphere Subgroup Subring Subset Substructure Theorem Topology of uniform convergence Topology Torus Tree (data structure) Tree structure Two-dimensional space Uniform continuity Valuation (algebra) Vector space Without loss of generality |
| ISBN |
1-282-45836-1
9786612458361 1-4008-2905-4 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. Affine Coxeter Diagrams -- Chapter 2. Root Systems -- Chapter 3. Root Data with Valuation -- Chapter 4. Sectors -- Chapter 5. Faces -- Chapter 6. Gems -- Chapter 7. Affine Buildings -- Chapter 8. The Building at Infinity -- Chapter 9. Trees with Valuation -- Chapter 10. Wall Trees -- Chapter 11. Panel Trees -- Chapter 12. Tree-Preserving Isomorphisms -- Chapter 13. The Moufang Property at Infinity -- Chapter 14. Existence -- Chapter 15. Partial Valuations -- Chapter 16. Bruhat-Tits Theory -- Chapter 17. Completions -- Chapter 18. Automorphisms and Residues -- Chapter 19. Quadrangles of Quadratic Form Type -- Chapter 20. Quadrangles of Indifferent Type -- Chapter 21. Quadrangles of Type E6, E7 and E8 -- Chapter 22. Quadrangles of Type F4 -- Chapter 23. Quadrangles of Involutory Type -- Chapter 24. Pseudo-Quadratic Quadrangles -- Chapter 25. Hexagons -- Chapter 26. Assorted Conclusions -- Chapter 27. Summary of the Classification -- Chapter 28. Locally Finite Bruhat-Tits Buildings -- Chapter 29. Appendix A -- Chapter 30. Appendix B -- Bibliography -- Index |
| Record Nr. | UNINA-9910780926103321 |
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Weiss Richard M (Richard Mark), <1946->
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| Princeton, N.J., : Princeton University Press, c2009 | ||
| 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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