Language: English
ISBN/ISSN: 9787030266163
Published on: 2010-01
Hardcover
Association Schemes of Matrices is an 8-chapter monograph that has met with wide success throughout the Chinese mathematics community. The main emphasis of this book is on the association schemes of various types of matrices. The matrix method here is elementary and requires little mathematical background. An undergraduate student who has completed a course in linear algebra and abstract algebra will be able to take on a research project on matrix groups and their geometries with the matrix techniques that are presented by the mathematicians that have contributed to this project. The matrix method has proven to be effective when the underlying field has fewer elements or in lower dimensions.
Note from the Translator
Preface
Foreword to the Chinese Edition
List of Symbols
Chapter 1 Basic Theory of Association Schemes
Chapter 2 Association Schemes of Rectangular Matrices
Chapter 3 Association Schemes of Alternate Matrices
Chapter 4 Association Schemes of Hermitian Matrices
Chapter 5 Association Schemes of Symmetric Matrices in Odd Characteristic
Chapter 6 Association Schemes of Symmetric Matrices in Even Characteristic
Chapter 7 Association Schemes of Quadratic Forms in Even Characteristic
Chapter 8 The Eigenvalues of Association Schemes of Quadratic Forms
References
Index
