Association Schemes of Matrices

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Author: Yangxian Wang /Changli Ma / Yuanji Ho
Language: English
ISBN/ISSN: 9787030266163
Published on: 2010-04
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.



chapter1 Basic Theory of Association Schemes
chapter2 Association Schemes of Rectangular Matrices
chapter3 Association Schemes of Alternate Matrices 
chapter4 Association Schemes of Heriitian Matrices
chapter5 Association Schemes of Symmetric Matrices in Odd
chapter6 Association Schemes of Symmetric Matrices in Even Characteristic
chapter7 Association Schemes of Quadratic Forms in Even Characteristic
chapter8 The Eigenvalues of Association Achemes of Quadratic Forms 



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