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Automorphic Forms on Adele Groups. (AM-83), Volume 83 / / Stephen S. Gelbart
Automorphic Forms on Adele Groups. (AM-83), Volume 83 / / Stephen S. Gelbart
Autore Gelbart Stephen S.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (280 pages)
Disciplina 512/.22
Collana Annals of Mathematics Studies
Soggetto topico Representations of groups
Automorphic forms
Linear algebraic groups
Adeles
Soggetto non controllato Abelian extension
Abelian group
Absolute value
Addition
Additive group
Algebraic group
Algebraic number field
Algebraic number theory
Analytic continuation
Analytic function
Arbitrarily large
Automorphic form
Cartan subgroup
Class field theory
Complex space
Congruence subgroup
Conjugacy class
Coprime integers
Cusp form
Differential equation
Dimension (vector space)
Direct integral
Direct sum
Division algebra
Eigenfunction
Eigenvalues and eigenvectors
Eisenstein series
Euler product
Existential quantification
Exponential function
Factorization
Finite field
Formal power series
Fourier series
Fourier transform
Fuchsian group
Function (mathematics)
Function space
Functional equation
Fundamental unit (number theory)
Galois extension
Global field
Group algebra
Group representation
Haar measure
Harish-Chandra
Hecke L-function
Hilbert space
Homomorphism
Induced representation
Infinite product
Inner automorphism
Integer
Invariant measure
Invariant subspace
Irreducible representation
L-function
Lie algebra
Linear map
Matrix coefficient
Mellin transform
Meromorphic function
Modular form
P-adic number
Poisson summation formula
Prime ideal
Prime number
Principal series representation
Projective representation
Quadratic field
Quadratic form
Quaternion algebra
Quaternion
Real number
Regular representation
Representation theory
Ring (mathematics)
Ring of integers
Scientific notation
Selberg trace formula
Simple algebra
Square-integrable function
Sub"ient
Subgroup
Summation
Theorem
Theory
Theta function
Topological group
Topology
Trace formula
Trivial representation
Uniqueness theorem
Unitary operator
Unitary representation
Universal enveloping algebra
Upper half-plane
Variable (mathematics)
Vector space
Weil group
ISBN 1-4008-8161-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- CONTENTS -- §1. THE CLASSICAL THEORY -- §2. AUTOMORPHIC FORMS AND THE DECOMPOSITION OF L2(ΓSL(2,ℝ)) -- §3. AUTOMORPHIC FORMS AS FUNCTIONS ON THE ADELE GROUP OF GL(2) -- §4. THE REPRESENTATIONS OF GL(2) OVER LOCAL AND GLOBAL FIELDS -- §5 . CUSP FORMS AND REPRESENTATIONS OF THE ADELE GROUP OF GL(2) -- §6. HECKE THEORY FOR GL(2) -- §7 . THE CONSTRUCTION OF A SPECIAL CLASS OF AUTOMORPHIC FORMS -- § 8 . EISENSTEIN SERIES AND THE CONTINUOUS SPECTRUM -- §9. THE TRACE FORMULA FOR GL(2) -- §10. AUTOMORPHIC FORMS ON A QUATERNION ALGEBRA -- BIBLIOGRAPHY -- INDEX
Record Nr. UNINA-9910154753203321
Gelbart Stephen S.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Introduction to Algebraic K-Theory. (AM-72), Volume 72 / / John Milnor
Introduction to Algebraic K-Theory. (AM-72), Volume 72 / / John Milnor
Autore Milnor John
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (200 pages)
Disciplina 512/.4
Collana Annals of Mathematics Studies
Soggetto topico Associative rings
Abelian groups
Functor theory
Soggetto non controllato Abelian group
Absolute value
Addition
Algebraic K-theory
Algebraic equation
Algebraic integer
Banach algebra
Basis (linear algebra)
Big O notation
Circle group
Coefficient
Commutative property
Commutative ring
Commutator
Complex number
Computation
Congruence subgroup
Coprime integers
Cyclic group
Dedekind domain
Direct limit
Direct proof
Direct sum
Discrete valuation
Division algebra
Division ring
Elementary matrix
Elliptic function
Exact sequence
Existential quantification
Exterior algebra
Factorization
Finite group
Free abelian group
Function (mathematics)
Fundamental group
Galois extension
Galois group
General linear group
Group extension
Hausdorff space
Homological algebra
Homomorphism
Homotopy
Ideal (ring theory)
Ideal class group
Identity element
Identity matrix
Integral domain
Invertible matrix
Isomorphism class
K-theory
Kummer theory
Lattice (group)
Left inverse
Local field
Local ring
Mathematics
Matsumoto's theorem
Maximal ideal
Meromorphic function
Monomial
Natural number
Noetherian
Normal subgroup
Number theory
Open set
Picard group
Polynomial
Prime element
Prime ideal
Projective module
Quadratic form
Quaternion
Quotient ring
Rational number
Real number
Right inverse
Ring of integers
Root of unity
Schur multiplier
Scientific notation
Simple algebra
Special case
Special linear group
Subgroup
Summation
Surjective function
Tensor product
Theorem
Topological K-theory
Topological group
Topological space
Topology
Torsion group
Variable (mathematics)
Vector space
Wedderburn's theorem
Weierstrass function
Whitehead torsion
ISBN 1-4008-8179-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Preface and Guide to the Literature -- Contents -- §1. Projective Modules and K0Λ -- §2 . Constructing Projective Modules -- §3. The Whitehead Group K1Λ -- §4. The Exact Sequence Associated with an Ideal -- §5. Steinberg Groups and the Functor K2 -- §6. Extending the Exact Sequences -- §7. The Case of a Commutative Banach Algebra -- §8. The Product K1Λ ⊗ K1Λ K2Λ -- §9. Computations in the Steinberg Group -- §10. Computation of K2Z -- §11. Matsumoto's Computation of K2 of a Field -- 12. Proof of Matsumoto's Theorem -- §13. More about Dedekind Domains -- §14. The Transfer Homomorphism -- §15. Power Norm Residue Symbols -- §16. Number Fields -- Appendix. Continuous Steinberg Symbols -- Index
Record Nr. UNINA-9910154752203321
Milnor John  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Ramification Theoretic Methods in Algebraic Geometry (AM-43), Volume 43 / / Shreeram Shankar Abhyankar
Ramification Theoretic Methods in Algebraic Geometry (AM-43), Volume 43 / / Shreeram Shankar Abhyankar
Autore Abhyankar Shreeram Shankar
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (117 pages)
Disciplina 512.815
Collana Annals of Mathematics Studies
Soggetto topico Algebraic fields
Geometry, Algebraic
Soggetto non controllato Abelian group
Abstract algebra
Additive group
Affine variety
Algebraic closure
Algebraic curve
Algebraic equation
Algebraic function field
Algebraic function
Algebraic geometry
Algebraic number theory
Algebraic surface
Algebraic variety
Big O notation
Birational geometry
Branch point
Cardinal number
Cardinality
Complex number
Degrees of freedom (statistics)
Dimension
Equation
Equivalence class
Existential quantification
Field extension
Field of fractions
Foundations of Algebraic Geometry
Function field
Galois group
Generic point
Ground field
Homomorphism
Ideal theory
Integer
Irrational number
Irreducible component
Linear algebra
Local ring
Mathematics
Max Noether
Maximal element
Maximal ideal
Natural number
Nilpotent
Noetherian ring
Null set
Order by
Order type
Parameter
Primary ideal
Prime ideal
Prime number
Projective variety
Quantity
Quotient ring
Ramification group
Rational function
Rational number
Real number
Resolution of singularities
Riemann surface
Ring (mathematics)
Special case
Splitting field
Subgroup
Subset
Theorem
Theory of equations
Transcendence degree
Two-dimensional space
Uniformization
Valuation ring
Variable (mathematics)
Vector space
Zero divisor
Zorn's lemma
ISBN 1-4008-8139-0
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- CONTENTS -- INTRODUCTION -- CHAPTER I: GENERAL RAMIFICATION THEORY -- CHAPTER II: VALUATION THEORY -- CHAPTER III: NOETHERIAN LOCAL RINGS -- CHAPTER IV: TWO-DIMENSIONAL LOCAL DOMAINS -- CHAPTER V: VARIETIES AND TRANSFORMATIONS -- BIBLIOGRAPHY
Record Nr. UNINA-9910154754403321
Abhyankar Shreeram Shankar  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Seminar on Transformation Groups. (AM-46), Volume 46 / / Armand Borel
Seminar on Transformation Groups. (AM-46), Volume 46 / / Armand Borel
Autore Borel Armand
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (261 pages) : illustrations
Disciplina 512.86
Collana Annals of Mathematics Studies
Soggetto topico Algebraic topology
Transformation groups
Soggetto non controllato Abelian group
Addition
Algebraic topology
Analytic function
Armand Borel
Big O notation
Bijection
Chain complex
Circle group
Codimension
Coefficient
Cohomology ring
Cohomology
Commutative diagram
Complex number
Conjugacy class
Connected component (graph theory)
Connected space
Continuous function
Corollary
Counterexample
Cup product
Cyclic group
Diffeomorphism
Differentiable function
Dimension (vector space)
Dimension function
Dimension
Direct product
Direct sum
Embedding
Equivariant map
Euclidean space
Exact sequence
Exponential function
Fiber bundle
Field of fractions
Finite group
Finitely generated module
Functor
Group action
H-space
Hausdorff space
Homeomorphism
Homogeneous space
Homological algebra
Homology (mathematics)
Homology sphere
Homomorphism
Ideal (ring theory)
Identity component
Inner automorphism
Invariant subspace
Lie algebra
Lie group
Linear combination
Linearity
Locally compact space
Manifold
Mathematical induction
Maximal torus
Metatheorem
Metric space
Module (mathematics)
Monotonic function
N-sphere
Neighbourhood (mathematics)
Open set
Orientability
P-group
Paracompact space
Partially ordered set
Polynomial
Presheaf (category theory)
Prime ideal
Projective space
Quotient space (topology)
Real variable
Riemannian manifold
Scientific notation
Sheaf (mathematics)
Simply connected space
Solvable group
Special case
Spectral sequence
Subgroup
Subset
Support (mathematics)
Sylow theorems
Tangent vector
Theorem
Topological group
Topological space
Torsion subgroup
Transpose
Unique factorization domain
Universal bundle
Universal coefficient theorem
Vector space
Weyl group
ISBN 1-4008-8267-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- TABLE OP CONTENTS -- INTRODUCTION -- CHAPTER I: COHOMOLOGY MANIFOLDS / Borel, A. -- CHAPTER II: HOMOLOGY AND DUALITY IN GENERALIZED MANIFOLDS / Borel, A. -- CHAPTER III: PERIODIC MAPS VIA SMITH THEORY / Floyd, E. E. -- CHAPTER IV: THE ACTION OF Zp OR T1 : GLOBAL THEOREMS / Borel, A. -- CHAPTER V: THE ACTION OF Zp T1 : LOCAL THEOREMS / Borel, A. -- CHAPTER VI: ISOTROPY SUBGROUPS OP TORAL GROUPS / Floyd, E. E. -- CHAPTER VII: FINITENESS OP NUMBER OF ORBIT TYPES / Bredon, G. E. -- CHAPTER VIII: SLICES AND EQUIVARIANT IMBEDDINGS / Palais, R. S. -- CHAPTER IX: ORBITS OF HIGHEST DIMENSION / Montgomery, Deane -- CHAPTER X: THE SPECTRAL SEQUENCE OF A BIFILTERED MODULE, / Borel, A. -- CHAPTER XI: THE SPECTRAL SEQUENCE OF FARY / Borel, A. -- CHAPTER XII: FIXED POINT THEOREMS FOR ELEMENTARY COMMUTATIVE GROUPS I / Borel, A. -- CHAPTER XIII: FIXED POINT THEOREMS FOR ELEMENTARY COMMUTATIVE GROUPS II / Borel, A. -- CHAPTER XIV: ONE OR W O CLASSES OF ORBITS / Borel, A. -- CHAPTER XV: FIXED POINT SETS AND ORBITS OF COMPLEMENTARY DIMENSION / Bredon, G. E. -- CHAPTER XVI: REMARKS ON THE SPECTRAL SEQUENCE OF A MAP / Borel, A. -- Backmatter
Record Nr. UNINA-9910154746603321
Borel Armand  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Singular Points of Complex Hypersurfaces. (AM-61), Volume 61 / / John Milnor
Singular Points of Complex Hypersurfaces. (AM-61), Volume 61 / / John Milnor
Autore Milnor John
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (137 pages) : illustrations
Disciplina 516.35
Collana Annals of Mathematics Studies
Soggetto topico Geometry, Algebraic
Soggetto non controllato 3-sphere
Addition
Alexander polynomial
Algebraic curve
Algebraic equation
Algebraic geometry
Analytic manifold
Apply
Approximation
Binary icosahedral group
Boundary (topology)
Characteristic polynomial
Codimension
Coefficient
Commutator subgroup
Commutator
Compact group
Complex analysis
Complex number
Complex projective plane
Conjecture
Contradiction
Coordinate space
Coordinate system
Derivative
Differentiable manifold
Dimension
Directional derivative
Euclidean space
Euler number
Exact sequence
Existential quantification
Exotic sphere
Fiber bundle
Fibration
Field of fractions
Finite group
Finite set
Finitely generated group
Formal power series
Free abelian group
Free group
Fundamental group
Geometry
Hermitian matrix
Hessian matrix
Homology (mathematics)
Homology sphere
Homotopy sphere
Homotopy
Hopf fibration
Hypersurface
Icosahedron
Implicit function theorem
Integer
Integral domain
Inverse function theorem
Knot group
Knot theory
Line segment
Linear combination
Linear map
Manifold
Minor (linear algebra)
Morse theory
N-sphere
Neighbourhood (mathematics)
Normal (geometry)
Normal subgroup
Open set
Orientability
Parametrization
Polynomial
Prime ideal
Principal ideal
Projective space
Real number
Regular icosahedron
Retract
Riemannian manifold
Second derivative
Sign (mathematics)
Simply connected space
Smoothness
Special case
Submanifold
Subset
Surjective function
Tangent space
Theorem
Topological manifold
Topology
Transcendence degree
Tubular neighborhood
Unit interval
Unit sphere
Unit vector
Variable (mathematics)
Vector field
Vector space
ISBN 1-4008-8181-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- CONTENTS -- §1. INTRODUCTION -- §2. ELEMENTARY FACTS ABOUT REAL OR COMPLEX ALGEBRAIC SETS -- §3. THE CURVE SELECTION LEMMA -- §4. THE FIBRATION THEOREM -- §5. THE TOPOLOGY OF THE FIBERAND OF K -- §6. THE CASE OF AN ISOLATED CRITICAL POINT -- §7. THE MIDDLE BETTI NUMBER OF THE FIBER -- §8. IS K A TOPOLOGICAL SPHERE ? -- §9. BRIESKORN VARIETIES AND WEIGHTED HOMOGENEOUS POLYNOMIALS -- § 10. THE CLASSICAL CASE: CURVES IN C2 -- §11. A FIBRATION THEOREM FOR REAL SINGULARITIES -- APPENDIX A. WHITNEY'S FINITENESS THEOREM FOR ALGEBRAIC SETS -- APPENDIX B. THE MULTIPLICITY OF AN ISOLATED SOLUTION OF ANALYTIC EQUATIONS -- BIBLIOGRAPHY
Record Nr. UNINA-9910154743603321
Milnor John  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui