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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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An Introduction to G-Functions. (AM-133), Volume 133 / / Bernard Dwork, Francis J. Sullivan, Giovanni Gerotto
| An Introduction to G-Functions. (AM-133), Volume 133 / / Bernard Dwork, Francis J. Sullivan, Giovanni Gerotto |
| Autore | Dwork Bernard |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (349 pages) : illustrations |
| Disciplina | 515/.55 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
H-functions
p-adic analysis |
| Soggetto non controllato |
Adjoint
Algebraic Method Algebraic closure Algebraic number field Algebraic number theory Algebraic variety Algebraically closed field Analytic continuation Analytic function Argument principle Arithmetic Automorphism Bearing (navigation) Binomial series Calculation Cardinality Cartesian coordinate system Cauchy sequence Cauchy's theorem (geometry) Coefficient Cohomology Commutative ring Complete intersection Complex analysis Conjecture Density theorem Differential equation Dimension (vector space) Direct sum Discrete valuation Eigenvalues and eigenvectors Elliptic curve Equation Equivalence class Estimation Existential quantification Exponential function Exterior algebra Field of fractions Finite field Formal power series Fuchs' theorem G-module Galois extension Galois group General linear group Generic point Geometry Hypergeometric function Identity matrix Inequality (mathematics) Intercept method Irreducible element Irreducible polynomial Laurent series Limit of a sequence Linear differential equation Lowest common denominator Mathematical induction Meromorphic function Modular arithmetic Module (mathematics) Monodromy Monotonic function Multiplicative group Natural number Newton polygon Number theory P-adic number Parameter Permutation Polygon Polynomial Projective line Q.E.D. Quadratic residue Radius of convergence Rational function Rational number Residue field Riemann hypothesis Ring of integers Root of unity Separable polynomial Sequence Siegel's lemma Special case Square root Subring Subset Summation Theorem Topology of uniform convergence Transpose Triangle inequality Unipotent Valuation ring Weil conjecture Wronskian Y-intercept |
| ISBN | 1-4008-8254-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE / Dwork, B. -- INTRODUCTION -- LIST OF SYMBOLS -- CHAPTER I. VALUED FIELDS -- CHAPTER II. ZETA FUNCTIONS -- CHAPTER III. DIFFERENTIAL EQUATIONS -- CHAPTER IV. EFFECTIVE BOUNDS. ORDINARY DISKS -- CHAPTER V. EFFECTIVE BOUNDS. SINGULAR DISKS -- CHAPTER VI. TRANSFER THEOREMS INTO DISKS WITH ONE SINGULARITY -- CHAPTER VII. DIFFERENTIAL EQUATIONS OF ARITHMETIC TYPE -- CHAPTER VIII. G-SERIES. THE THEOREM OF CHUDNOVSKY -- APPENDIX I. CONVERGENCE POLYGON FOR DIFFERENTIAL EQUATIONS -- APPENDIX II. ARCHIMEDEAN ESTIMATES -- APPENDIX III. CAUCHY'S THEOREM -- BIBLIOGRAPHY -- INDEX |
| Record Nr. | UNINA-9910154744303321 |
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Dwork Bernard
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Introduction to Toric Varieties. (AM-131), Volume 131 / / William Fulton
| Introduction to Toric Varieties. (AM-131), Volume 131 / / William Fulton |
| Autore | Fulton William |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (171 pages) : illustrations |
| Disciplina | 516.3/53 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Toric varieties |
| Soggetto non controllato |
Addition
Affine plane Affine space Affine variety Alexander Grothendieck Alexander duality Algebraic curve Algebraic group Atiyah–Singer index theorem Automorphism Betti number Big O notation Characteristic class Chern class Chow group Codimension Cohomology Combinatorics Commutative property Complete intersection Convex polytope Convex set Coprime integers Cotangent space Dedekind sum Dimension (vector space) Dimension Direct proof Discrete valuation ring Discrete valuation Disjoint union Divisor (algebraic geometry) Divisor Dual basis Dual space Equation Equivalence class Equivariant K-theory Euler characteristic Exact sequence Explicit formula Facet (geometry) Fundamental group Graded ring Grassmannian H-vector Hirzebruch surface Hodge theory Homogeneous coordinates Homomorphism Hypersurface Intersection theory Invertible matrix Invertible sheaf Isoperimetric inequality Lattice (group) Leray spectral sequence Limit point Line bundle Line segment Linear subspace Local ring Mathematical induction Mixed volume Moduli space Moment map Monotonic function Natural number Newton polygon Open set Picard group Pick's theorem Polytope Projective space Quadric Quotient space (topology) Regular sequence Relative interior Resolution of singularities Restriction (mathematics) Resultant Riemann–Roch theorem Serre duality Sign (mathematics) Simplex Simplicial complex Simultaneous equations Spectral sequence Subgroup Subset Summation Surjective function Tangent bundle Theorem Topology Toric variety Unit disk Vector space Weil conjecture Zariski topology |
| ISBN | 1-4008-8252-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Errata -- Chapter 1. Definitions and examples -- Chapter 2. Singularities and compactness -- Chapter 3. Orbits, topology, and line bundles -- Chapter 4. Moment maps and the tangent bundle -- Chapter 5. Intersection theory -- Notes -- References -- Index of Notation -- Index |
| Record Nr. | UNINA-9910154749903321 |
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Fulton William
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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