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Sphere packings, lattices, and groups
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| Auteurs principaux : | , |
|---|---|
| Autres auteurs : | , , |
| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Sphere packings, lattices, and groups / J.H. Conway, N.J.A. Sloane; with additional contributions by E. Bannai, R.E. Borcherds, J. Leech... [et al.] |
| Édition : | 3rd edition |
| Publié : |
New York, N.Y. :
Springer
, copyright 1999 |
| Description matérielle : | 1 vol. (LXXIV-703 p.) |
| Collection : | Grundlehren der mathematischen Wissenschaften ; 290 |
| Sujets : |
- Sphere Packings and Kissing Numbers
- Coverings, Lattices and Quantizers
- Codes, Designs and Groups
- Certain Important Lattices and Their Properties
- Sphere Packing 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
- Lorentzian Forms for the Leech Lattice
- The Automorphism Group of the 26-Dimensional Lorentzian Lattice
- Leech Roots and Vinberg Groups
- The Monster Group and its 196884-Dimensional Space
- A Monster Lie Algebra?