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力学基础与工程技术前沿
An Introduction to Groups and Lattices:
作 者:
Robert L. Griess,Jr
ISBN:978-7-04-029205-3 出版时间:2010-06-07
全书目录
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目录
1 Introduction
2 Bilinear Forms, Quadratic Forms and Their Isometry Groups
3 General Results on Finite Groups and Invariant Lattices
4 Root Lattices of Types A, D, E
5 Hermite and Minkowski Functions
6 Constructions of Lattices by Use of Codes
7 Group Theory and Representations
8 Overview of the Barnes-Wall Lattices
9 Construction and Properties of the Barnes-Wall Lattices
10 Even unimodular lattices in small dimensions
11 Pieces of Eight
References
Index
Appendix A The Finite Simple Groups
Appendix B Reprints of Selected Articles
ADVANCED LECTURES IN MATHEMATICS
11.1 Leech trios and overlattices
11.2 The order of the group O(Λ)
11.3 The simplicity of M24
11.4 Sublattices of Leech and subgroups of the isometry group
11.5 Involutions on the Leech lattice
11 Pieces of Eight
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