Sphere packings, lattices, and groups /

The third edition of this timely, definitive, and popular book continues to pursue the question: what is the most efficient way to pack a large number of equal spheres in n-dimensional Euclidean space? The authors also continue to examine related problems such as the kissing number problem, the cove...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Conway, John H. (John Horton) (Autor), Sloane, N. J. A. (Neil James Alexander), 1939- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Springer, ©1999.
Edición:Third edition.
Colección:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics ; 290.
Temas:
Sphere packings.
Lattice theory.
Finite groups.
Empilements de sphères.
Théorie des treillis.
Groupes finis.
Grupos finitos
Retículos, Teoría de
Finite groups
Lattice theory
Sphere packings
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Preface to First Edition
  • Preface to Third Edition
  • List of Symbols
  • Sphere Packings and Kissing Numbers
  • Coverings, Lattices and Quantizers
  • Codes, Designs, and Groups
  • Certain Important Lattices and Their Properties
  • Sphere Pakcking and Error-Correcting Codes
  • Laminated Lattices
  • Further Connections Between Codes and Lattices
  • Algebraic Constructions for Lattices
  • Bounds for Codes and Sphere Packings
  • Three Lectures on Exceptional Groups
  • The Golay Codes and the Mathieu Groups
  • A Characterization of the Leech Lattice
  • Bounds on Kissing Numbers
  • Uniqueness of Certain Spherical Codes
  • On the Classification of Integral Quadratic Forms
  • Enumeration of Unimodular Lattices
  • The 24-Dimensional Odd Unimodular Lattices
  • Even Unimodular 24-Dimensional Lattices
  • Enumeration of Extremal Self-Dual Lattices
  • Finding the Closest Lattice Point
  • Voronoi Cells of Lattices and Quantization Errors
  • A Bound for the Covering Radius of the Leech Lattice. The Covering Radius of the Leech Lattice
  • Twenty-Three Constructions for the Leech Lattice
  • The Cellular Structure of the Leech Lattice
  • Lorenzian Forms for the Leech Lattice
  • The Automorphism Group of the 26-Dimensional Even Unimodular Lorenzian Lattice
  • Leech Roots and Vinberg Groups
  • The Moster Group and its 196885-Dimensional Space
  • A Monster Lie Algebra? Bibliography. Supplemental Bibliography.

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