Sphere Packings, Lattices and Groups
By: by J. H. Conway, N. J. A. Sloane
Contributors: Sloane, N. J. A.
Series: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics -- 290
Publisher: Springer New York
Published: 1988
Place of publication: New York, NY
Language: eng
Format: [electronic resource] /
Number of pages: 665
ISBN-13: 9781475720181; 9781475720167
Subjects: Group theory; Engineering; Mathematics; Chemistry; Combinatorial analysis; Number theory
Description: This book is an exposition of the mathematics arising from the theory of sphere packings. Considerable progress has been made on the basic problems in the field, and the most recent research is presented here. Connections with many areas of pure and applied mathematics, for example signal processing, coding theory, are thoroughly discussed.
Notes: Online full text is restricted to subscribers.

Also available in print.

Mode of access: World Wide Web.
Table of contents: title: Contents: Sphere Packings and Kissing Numbers; title: Coverings, Lattices and Quantizers; title: Codes, Designs and Groups; title: Certain Important Lattices and Their Properties; title: Sphere Packing and Error-Correcting Codes; title: Laminated Lattices; title: Further Connections Between Codes and Lattices; title: Algebraic Constructions for Lattices; title: Bounds for Codes and Sphere Packings; title: Three Lectures on Exceptional Groups; title: The Golay Codes and the Mathieu Groups; title: A Characterization of the Leech Lattice; title: Bounds on Kissing Numbers; title: Uniqueness of Certain Spherical Codes; title: On the Classification of Integral Quadratic Forms; title: Enumeration of Unimodular Lattices; title: The 24-Dimensional Odd Unimodular Lattices; title: Even Unimodular 24-Dimensional Lattices; title: Enumeration of Extremal Self-Dual Lattices; title: Finding the Closest Lattice Point; title: Voronoi Cells of Lattices and Quantization Errors; title: A Bound for the Covering Radius of the Leech Lattice; title: The Covering Radius of the Leech Lattice; title: Twenty-Three Constructions for the Leech Lattice; title: The Cellular Structure of the Leech Lattice; title: Lorentzian Forms for the Leech Lattice; title: The Automorphism Group of the 26-Dimensional Even Unimodular Lorentzian Lattice; title: Leech Roots and Vinberg Groups; title: The Monster Group and its 196884-Dimensional Space; title: A Monster Lie Algebra?- Bibliography; title: Index.