Group Matrices, Group Determinants and Representation Theory
Kenneth W. Johnson
Broschiertes Buch

Group Matrices, Group Determinants and Representation Theory

The Mathematical Legacy of Frobenius

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This book sets out an account of the tools which Frobenius used to discover representation theory for nonabelian groups and describes its modern applications. It provides a new viewpoint from which one can examine various aspects of representation theory and areas of application, such as probability theory and harmonic analysis. For example, the focal objects of this book, group matrices, can be thought of as a generalization of the circulant matrices which are behind many important algorithms in information science. The book is designed to appeal to several audiences, primarily mathematicians...