购物车
申请加入邮件组
English
高级检索
图表检索
首页
图书
期刊
首页
图书
期刊
院士风采
作者服务
订购指南
下载中心
音视频讲座
图片集
书刊相关资料
书刊目录
丛书简介
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
本章目录
版权
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
6.1 Definitions and basic results
6.1.1 A construction of the E8-lattice with the binary [8; 4; 4] code
6.1.2 A construction of the E8-lattice with the ternary [4; 2; 3] code
6.2 The proofs
6.2.1 About power sets, boolean sums and quadratic forms
6.2.2 Uniqueness of the binary [8; 4; 4] code
6.2.3 Reed-Muller codes
6.2.4 Uniqueness of the tetracode
6.2.5 The automorphism group of the tetracode
6.2.6 Another characterization of [8; 4; 4]2
6.2.7 Uniqueness of the E8-lattice implies uniqueness of the binary [8; 4; 4] code
6.3 Codes over F7 and a (mod 7)-construction of E8
6.3.1 The A6-lattice
6 Constructions of Lattices by Use of Codes
PDF (617 KB)
Book Metrics
引用导出
点击:
次
下载:
次
相关资源
相关词条
6 Constructions of Lattices by Use of Codes
引用导出
RIS (for EndNote, Reference Manager, ProCite)
BibTeX
Text