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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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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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