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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
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Prospects in Topology (AM-138), Volume 138 : Proceedings of a Conference in Honor of William Browder. (AM-138) / / Frank Quinn
| Prospects in Topology (AM-138), Volume 138 : Proceedings of a Conference in Honor of William Browder. (AM-138) / / Frank Quinn |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (357 pages) : illustrations |
| Disciplina | 514 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Topology |
| Soggetto non controllato |
Adjunction (field theory)
Algebraic cycle Algebraic topology Analytic function Automorphism Base change Basis (linear algebra) Borel conjecture Characteristic class Circle group Classifying space Cobordism Codimension Cohomology ring Cohomology Combinatorial group theory Commutative diagram Commutative property Compactification (mathematics) Coxeter group Cyclic group Cyclic homology Diagram (category theory) Diffeomorphism Differentiable manifold Differential topology Dimension (vector space) Dirac operator Discrete valuation ring Divisor (algebraic geometry) Elliptic operator Equivariant K-theory Equivariant cohomology Equivariant map Exterior (topology) Exterior algebra Fiber bundle Fibration Fundamental group Gauss map Geometrization conjecture Group algebra H-cobordism Homeomorphism Homotopy fiber Homotopy group Homotopy Hopf algebra Identity matrix Inclusion map Intersection form (4-manifold) Isomorphism class J-homomorphism Knot theory L-theory Lens space Lie algebra Lie group Linear algebra Mapping cone (homological algebra) Mapping cone (topology) Marriage theorem Metric space Moduli space Motivic cohomology Neighbourhood (mathematics) Operator norm Pushout (category theory) Quasi-isometry Quotient space (topology) Real projective space Regularization (mathematics) Representation theory Riemann surface Riemannian manifold Set (mathematics) Sheaf (mathematics) Sign (mathematics) Simplicial complex Stable homotopy theory Subgroup Submanifold Submersion (mathematics) Subset Support (mathematics) Sylow theorems Tangent space Theorem Topological K-theory Topological group Topological manifold Topological space Topology Torsion sheaf Transversality (mathematics) Unification (computer science) Vector bundle Whitehead torsion Zariski topology Zorn's lemma |
| ISBN | 1-4008-8258-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Foreword -- Program of the Conference -- Mathematical descendants of William Browder -- The Mod 2 Cohomology Rings of Rank 3 Simple Groups are Cohen-Macaulay / Adem, Alejandro / Milgram, R. James -- Algebraic Geometric Invariants for Homotopy Actions / Assadi, Amir H. -- Algebraic K-Theory of Local Number Fields: The Unramified Case / Bokstedt, M. / Madsen, I. -- The Mapping Cone and Cylinder of a Stratified Map / Cappell, Sylvain E. / Shaneson, Julius L. -- Replacement of Fixed Sets and of their Normal Representations in Transformation Groups of Manifolds / Cappell, Sylvain / Weinberger, Shmuel -- Finite K (π, 1)s for Artin Groups / Charney, Ruth / Davis, Michael W. -- Double Point Manifolds of Immersions of Spheres in Euclidean Space / Eccles, Peter J. -- Controlled Linear Algebra / Freedman, Michael H. / Wang, Zhenghan -- Non-Linear Similarity Revisited / Hambleton, Ian / Pedersen, Erik K. -- On the Vietoris-Rips complexes and a Cohomology Theory for metric spaces / Hausmann, Jean-Claude -- Every Proper Smooth Action of a Lie Group is Equivalent to a Real Analytic Action: A Contribution to Hilbert's Fifth Problem / Illman, Sören -- Formal Deformations of Equivariant Genera, Fixed Point Formula and Universal Symmetry Blocks / Katz, Gabriel -- Stable Prime Decompositions of Four-Manifolds / Kreck, Matthias / Luck, Wolfgang / Teichner, Peter -- Smooth Correspondences / Morava, Jack -- Simply Connected 6-Dimensional Manifolds with Little Symmetry and Algebras with Small Tangent Space / Puppe, Volker -- Speculations on Gromov Convergence of Stratified Sets, and Riemannian Volume Collapse / Quinn, Frank -- Bordism of Automorphisms of Manifolds. From the Algebraic L-Theory Point of View -- Exterior d, the Local Degree, and Smoothability / Sullivan, Dennis -- Contributors |
| Record Nr. | UNINA-9910154749503321 |
| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Random Fourier Series with Applications to Harmonic Analysis. (AM-101), Volume 101 / / Gilles Pisier, Michael B. Marcus
| Random Fourier Series with Applications to Harmonic Analysis. (AM-101), Volume 101 / / Gilles Pisier, Michael B. Marcus |
| Autore | Marcus Michael B. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (161 pages) |
| Disciplina | 515/.2433 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Fourier series
Harmonic analysis |
| Soggetto non controllato |
Abelian group
Almost periodic function Almost surely Banach space Big O notation Cardinality Central limit theorem Circle group Coefficient Commutative property Compact group Compact space Complex number Continuous function Corollary Discrete group Equivalence class Existential quantification Finite group Fourier series Gaussian process Haar measure Harmonic analysis Independence (probability theory) Inequality (mathematics) Integer Irreducible representation Non-abelian group Non-abelian Normal distribution Orthogonal group Orthogonal matrix Probability distribution Probability measure Probability space Probability Random function Random matrix Random variable Rate of convergence Real number Ring (mathematics) Scientific notation Set (mathematics) Slepian's lemma Small number Smoothness Stationary process Subgroup Subset Summation Theorem Uniform convergence Unitary matrix Variance |
| ISBN | 1-4008-8153-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- CHAPTER I: INTRODUCTION -- CHAPTER II: PRELIMINARIES -- CHAPTER III: RANDOM FOURIER SERIES ON LOCALLY COMPACT ABELIAN GROUPS -- CHAPTER IV: THE CENTRAL LIMIT THEOREM AND RELATED QUESTIONS -- CHAPTER V: RANDOM FOURIER SERIES ON COMPACT NON-ABELIAN GROUPS -- CHAPTER VI: APPLICATIONS TO HARMONIC ANALYSIS -- CHAPTER VII: ADDITIONAL RESULTS AND COMMENTS -- REFERENCES -- INDEX OF TERMINOLOGY -- INDEX OF NOTATIONS -- Backmatter |
| Record Nr. | UNINA-9910154747303321 |
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Marcus Michael B.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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 |
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Borel Armand
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| 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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Unitary Representations of Reductive Lie Groups. (AM-118), Volume 118 / / David A. Vogan
| Unitary Representations of Reductive Lie Groups. (AM-118), Volume 118 / / David A. Vogan |
| Autore | Vogan David A. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (320 pages) |
| Disciplina | 512/.55 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Lie groups
Representations of Lie groups |
| Soggetto non controllato |
Abelian group
Adjoint representation Annihilator (ring theory) Atiyah–Singer index theorem Automorphic form Automorphism Cartan subgroup Circle group Class function (algebra) Classification theorem Cohomology Commutator subgroup Complete metric space Complex manifold Conjugacy class Cotangent space Dimension (vector space) Discrete series representation Dixmier conjecture Dolbeault cohomology Duality (mathematics) Eigenvalues and eigenvectors Exponential map (Lie theory) Exponential map (Riemannian geometry) Exterior algebra Function space Group homomorphism Harmonic analysis Hecke algebra Hilbert space Hodge theory Holomorphic function Holomorphic vector bundle Homogeneous space Homomorphism Induced representation Infinitesimal character Inner automorphism Invariant subspace Irreducibility (mathematics) Irreducible representation Isometry group Isometry K-finite Kazhdan–Lusztig polynomial Langlands decomposition Lie algebra cohomology Lie algebra representation Lie algebra Lie group action Lie group Mathematical induction Maximal compact subgroup Measure (mathematics) Minkowski space Nilpotent group Orbit method Orthogonal group Parabolic induction Principal homogeneous space Principal series representation Projective space Pseudo-Riemannian manifold Pullback (category theory) Ramanujan–Petersson conjecture Reductive group Regularity theorem Representation of a Lie group Representation theorem Representation theory Riemann sphere Riemannian manifold Schwartz space Semisimple Lie algebra Sheaf (mathematics) Sign (mathematics) Special case Spectral theory Sub"ient Subgroup Support (mathematics) Symplectic geometry Symplectic group Symplectic vector space Tangent space Tautological bundle Theorem Topological group Topological space Trivial representation Unitary group Unitary matrix Unitary representation Universal enveloping algebra Vector bundle Weyl algebra Weyl character formula Weyl group Zariski's main theorem Zonal spherical function |
| ISBN | 1-4008-8238-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- ACKNOWLEDGEMENTS -- INTRODUCTION -- Chapter 1. COMPACT GROUPS AND THE BOREL-WEIL THEOREM -- Chapter 2. HARISH-CHANDRA MODULES -- Chapter 3. PARABOLIC INDUCTION -- Chapter 4. STEIN COMPLEMENTARY SERIES AND THE UNITARY DUAL OF GL(n,ℂ) -- Chapter 5. COHOMOLOGICAL PARABOLIC INDUCTION: ANALYTIC THEORY -- Chapter 6. COHOMOLOGICAL PARABOLIC INDUCTION: ALGEBRAIC THEORY -- Interlude. THE IDEA OF UNIPOTENT REPRESENTATIONS -- Chapter 7. FINITE GROUPS AND UNIPOTENT REPRESENTATIONS -- Chapter 8. LANGLANDS' PRINCIPLE OF FUNCTORIALITY AND UNIPOTENT REPRESENTATIONS -- Chapter 9. PRIMITIVE IDEALS AND UNIPOTENT REPRESENTATIONS -- Chapter 10. THE ORBIT METHOD AND UNIPOTENT REPRESENTATIONS -- Chapter 11. E-MULTIPLICITIES AND UNIPOTENT REPRESENTATIONS -- Chapter 12. ON THE DEFINITION OF UNIPOTENT REPRESENTATIONS -- Chapter 13. EXHAUSTION -- REFERENCES -- Backmatter |
| Record Nr. | UNINA-9910154742103321 |
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Vogan David A.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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