基本信息
- 原书名:Association Schemes of Matrices
- 原出版社: Jones & Bartlett Pub
- 作者: Yangxian Wang Yuanji Ho Changli Ma
- 出版社:科学出版社
- ISBN:9787030266163
- 上架时间:2014-6-25
- 出版日期:2010 年4月
- 开本:16开
- 页码:234
- 版次:1-1
- 所属分类:教育
内容简介
目录
Preface
Foreword to the Chinese Edition
List of Symbols
Chapter 1 Basic Theory of Association Schemes
1.1 Definition of Association Scheme
1.2 Examples
1.3 The Eigenvalues of Association Schemes
1.4 The Krein Parameters
1.5 S-Rings and Duality
1.6 Primitivity and Imprimitivity
1.7 Subschemes and Quotient Schemes
1.8 The Polynomial Property
1.9 The Automorphisms
Chapter 2 Association Schemes of Rectangular Matrices
2.1 Definition and Primitivity
2.2 The Polynomial Property of Association Schemes of Rectangular Matrices.
2.3 Recurrence Formulas for Intersection Numbers
2.4 The Duality of Association Schemes of Rectangular Matrices
2.5 The Automorphisms ofMat(m × n,q)
书摘
《矩阵结合方案(英文版)》内容简介:This title is the first in a series of mathematics texts and monographs co-published byScience Press, China and Jones & Bartlett Learning of Sudbury, Massachusetts. Theprimary goal of this partnership is to bring Chinese mathematical research findings to theglobal, English-speaking mathematics community. Each title in this series is put through acareful translation process to promote accuracy. Association Schemes of Matrices is an 8-chapter monograph that has met with widesuccess throughout the Chinese mathematics community. The'main emphasis of this bookis on the association schemes of various types of matrices. The matrix method here iselementary and requires little mathematical background. An undergraduate student who hascompleted a course in linear algebra and abstract algebra will be able to take on a researchproject on matrix groups and their geometries with the matrix techniques that are presentedby the mathematicians that have contributed to this project. The matrix method has provento be effective when the underlying field has fewer elements or in lower dimensions.