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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  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Classifying spaces of degenerating polarized Hodge structures / / Kazuya Kato and Sampei Usui
Classifying spaces of degenerating polarized Hodge structures / / Kazuya Kato and Sampei Usui
Autore Kato Kazuya (Kazuya)
Edizione [Course Book]
Pubbl/distr/stampa Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009
Descrizione fisica 1 online resource (349 p.)
Disciplina 514/.74
Collana Annals of Mathematics Studies
Soggetto topico Hodge theory
Logarithms
Soggetto non controllato Algebraic group
Algebraic variety
Analytic manifold
Analytic space
Annulus (mathematics)
Arithmetic group
Atlas (topology)
Canonical map
Classifying space
Coefficient
Cohomology
Compactification (mathematics)
Complex manifold
Complex number
Congruence subgroup
Conjecture
Connected component (graph theory)
Continuous function
Convex cone
Degeneracy (mathematics)
Diagram (category theory)
Differential form
Direct image functor
Divisor
Elliptic curve
Equivalence class
Existential quantification
Finite set
Functor
Geometry
Hodge structure
Hodge theory
Homeomorphism
Homomorphism
Inverse function
Iwasawa decomposition
Local homeomorphism
Local ring
Local system
Logarithmic
Maximal compact subgroup
Modular curve
Modular form
Moduli space
Monodromy
Monoid
Morphism
Natural number
Nilpotent orbit
Nilpotent
Open problem
Open set
P-adic Hodge theory
P-adic number
Point at infinity
Proper morphism
Pullback (category theory)
Quotient space (topology)
Rational number
Relative interior
Ring (mathematics)
Ring homomorphism
Scientific notation
Set (mathematics)
Sheaf (mathematics)
Smooth morphism
Special case
Strong topology
Subgroup
Subobject
Subset
Surjective function
Tangent bundle
Taylor series
Theorem
Topological space
Topology
Transversality (mathematics)
Two-dimensional space
Vector bundle
Vector space
Weak topology
ISBN 1-4008-3711-1
0-691-13822-2
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- Chapter 0. Overview -- Chapter 1. Spaces of Nilpotent Orbits and Spaces of Nilpotent i-Orbits -- Chapter 2. Logarithmic Hodge Structures -- Chapter 3. Strong Topology and Logarithmic Manifolds -- Chapter 4. Main Results -- Chapter 5. Fundamental Diagram -- Chapter 6. The Map ψ:D#val → DSL(2) -- Chapter 7. Proof of Theorem A -- Chapter 8. Proof of Theorem B -- Chapter 9. b-Spaces -- Chapter 10. Local Structures of DSL(2) and ΓDbSL(2),≤1 -- Chapter 11. Moduli of PLH with Coefficients -- Chapter 12. Examples and Problems -- Appendix -- References -- List of Symbols -- Index
Record Nr. UNINA-9910791746503321
Kato Kazuya (Kazuya)  
Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Classifying spaces of degenerating polarized Hodge structures / / Kazuya Kato and Sampei Usui
Classifying spaces of degenerating polarized Hodge structures / / Kazuya Kato and Sampei Usui
Autore Kato Kazuya (Kazuya)
Edizione [Course Book]
Pubbl/distr/stampa Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009
Descrizione fisica 1 online resource (349 p.)
Disciplina 514/.74
Collana Annals of Mathematics Studies
Soggetto topico Hodge theory
Logarithms
Soggetto non controllato Algebraic group
Algebraic variety
Analytic manifold
Analytic space
Annulus (mathematics)
Arithmetic group
Atlas (topology)
Canonical map
Classifying space
Coefficient
Cohomology
Compactification (mathematics)
Complex manifold
Complex number
Congruence subgroup
Conjecture
Connected component (graph theory)
Continuous function
Convex cone
Degeneracy (mathematics)
Diagram (category theory)
Differential form
Direct image functor
Divisor
Elliptic curve
Equivalence class
Existential quantification
Finite set
Functor
Geometry
Hodge structure
Hodge theory
Homeomorphism
Homomorphism
Inverse function
Iwasawa decomposition
Local homeomorphism
Local ring
Local system
Logarithmic
Maximal compact subgroup
Modular curve
Modular form
Moduli space
Monodromy
Monoid
Morphism
Natural number
Nilpotent orbit
Nilpotent
Open problem
Open set
P-adic Hodge theory
P-adic number
Point at infinity
Proper morphism
Pullback (category theory)
Quotient space (topology)
Rational number
Relative interior
Ring (mathematics)
Ring homomorphism
Scientific notation
Set (mathematics)
Sheaf (mathematics)
Smooth morphism
Special case
Strong topology
Subgroup
Subobject
Subset
Surjective function
Tangent bundle
Taylor series
Theorem
Topological space
Topology
Transversality (mathematics)
Two-dimensional space
Vector bundle
Vector space
Weak topology
ISBN 1-4008-3711-1
0-691-13822-2
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- Chapter 0. Overview -- Chapter 1. Spaces of Nilpotent Orbits and Spaces of Nilpotent i-Orbits -- Chapter 2. Logarithmic Hodge Structures -- Chapter 3. Strong Topology and Logarithmic Manifolds -- Chapter 4. Main Results -- Chapter 5. Fundamental Diagram -- Chapter 6. The Map ψ:D#val → DSL(2) -- Chapter 7. Proof of Theorem A -- Chapter 8. Proof of Theorem B -- Chapter 9. b-Spaces -- Chapter 10. Local Structures of DSL(2) and ΓDbSL(2),≤1 -- Chapter 11. Moduli of PLH with Coefficients -- Chapter 12. Examples and Problems -- Appendix -- References -- List of Symbols -- Index
Record Nr. UNINA-9910809577303321
Kato Kazuya (Kazuya)  
Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Period Spaces for p-divisible Groups (AM-141), Volume 141 / / Thomas Zink, Michael Rapoport
Period Spaces for p-divisible Groups (AM-141), Volume 141 / / Thomas Zink, Michael Rapoport
Autore Rapoport Michael
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (347 pages)
Disciplina 512.2
Collana Annals of Mathematics Studies
Soggetto topico p-divisible groups
Moduli theory
p-adic groups
Soggetto non controllato Abelian variety
Addition
Alexander Grothendieck
Algebraic closure
Algebraic number field
Algebraic space
Algebraically closed field
Artinian ring
Automorphism
Base change
Basis (linear algebra)
Big O notation
Bilinear form
Canonical map
Cohomology
Cokernel
Commutative algebra
Commutative ring
Complex multiplication
Conjecture
Covering space
Degenerate bilinear form
Diagram (category theory)
Dimension (vector space)
Dimension
Duality (mathematics)
Elementary function
Epimorphism
Equation
Existential quantification
Fiber bundle
Field of fractions
Finite field
Formal scheme
Functor
Galois group
General linear group
Geometric invariant theory
Hensel's lemma
Homomorphism
Initial and terminal objects
Inner automorphism
Integral domain
Irreducible component
Isogeny
Isomorphism class
Linear algebra
Linear algebraic group
Local ring
Local system
Mathematical induction
Maximal ideal
Maximal torus
Module (mathematics)
Moduli space
Monomorphism
Morita equivalence
Morphism
Multiplicative group
Noetherian ring
Open set
Orthogonal basis
Orthogonal complement
Orthonormal basis
P-adic number
Parity (mathematics)
Period mapping
Prime element
Prime number
Projective line
Projective space
Quaternion algebra
Reductive group
Residue field
Rigid analytic space
Semisimple algebra
Sheaf (mathematics)
Shimura variety
Special case
Subalgebra
Subgroup
Subset
Summation
Supersingular elliptic curve
Support (mathematics)
Surjective function
Symmetric bilinear form
Symmetric space
Tate module
Tensor algebra
Tensor product
Theorem
Topological ring
Topology
Torsor (algebraic geometry)
Uniformization theorem
Uniformization
Unitary group
Weil group
Zariski topology
ISBN 1-4008-8260-5
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- 1. p-adic symmetric domains -- 2. Quasi-isogenies of p-divisible groups -- 3. Moduli spaces of p-divisible groups -- Appendix: Normal forms of lattice chains -- 4. The formal Hecke correspondences -- 5. The period morphism and the rigid-analytic coverings -- 6. The p-adic uniformization of Shimura varieties -- Bibliography -- Index
Record Nr. UNINA-9910154754603321
Rapoport Michael  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Rigid Local Systems. (AM-139), Volume 139 / / Nicholas M. Katz
Rigid Local Systems. (AM-139), Volume 139 / / Nicholas M. Katz
Autore Katz Nicholas M.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (233 pages)
Disciplina 515/.35
Collana Annals of Mathematics Studies
Soggetto topico Differential equations - Numerical solutions
Hypergeometric functions
Sheaf theory
Soggetto non controllato Additive group
Alexander Grothendieck
Algebraic closure
Algebraic differential equation
Algebraically closed field
Algorithm
Analytic continuation
Automorphism
Axiom of choice
Bernhard Riemann
Big O notation
Calculation
Carlos Simpson
Coefficient
Cohomology
Commutator
Compactification (mathematics)
Comparison theorem
Complex analytic space
Complex conjugate
Complex manifold
Conjecture
Conjugacy class
Convolution
Corollary
Cube root
Cusp form
De Rham cohomology
Differential equation
Dimension
Dimensional analysis
Discrete valuation ring
Disjoint union
Divisor
Duality (mathematics)
Eigenfunction
Eigenvalues and eigenvectors
Elliptic curve
Equation
Equivalence of categories
Exact sequence
Existential quantification
Finite field
Finite set
Fourier transform
Functor
Fundamental group
Generic point
Ground field
Hodge structure
Hypergeometric function
Integer
Invertible matrix
Isomorphism class
Jordan normal form
Level of measurement
Linear differential equation
Local system
Mathematical induction
Mathematics
Matrix (mathematics)
Monodromy
Monomial
Morphism
Natural filtration
Parameter
Parity (mathematics)
Perfect field
Perverse sheaf
Polynomial
Prime number
Projective representation
Projective space
Pullback (category theory)
Pullback
Rational function
Regular singular point
Relative dimension
Residue field
Ring of integers
Root of unity
Sequence
Sesquilinear form
Set (mathematics)
Sheaf (mathematics)
Six operations
Special case
Subgroup
Subobject
Subring
Suggestion
Summation
Tensor product
Theorem
Theory
Topology
Triangular matrix
Trivial representation
Vector space
Zariski topology
ISBN 1-4008-8259-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- CHAPTER 1. First results on rigid local systems -- CHAPTER 2. The theory of middle convolution -- CHAPTER 3. Fourier Transform and rigidity -- CHAPTER 4. Middle convolution: dependence on parameters -- CHAPTER 5. Structure of rigid local systems -- CHAPTER 6. Existence algorithms for rigids -- CHAPTER 7. Diophantine aspects of rigidity -- CHAPTER 8. Motivic description of rigids -- CHAPTER 9. Grothendieck's p-curvature conjecture for rigids -- References
Record Nr. UNINA-9910154746203321
Katz Nicholas M.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui