Spectral Theory of Random Matrices

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Academic Press, Jul 27, 1976 - Computers - 600 pages
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Spectral Theory of Random Matrices
 

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An excellent text.
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Very clear, well set out, and very well explained.

Contents

Chapter 1 Algebras modules and representations
1
Chapter 2 Group representations and characters
13
Chapter 3 Characters and integrality
33
Chapter 4 Products of characters
47
Chapter 5 Induced characters
62
Chapter 6 Normal subgroups
78
Chapter 7 TI sets and exceptional characters
99
Chapter 8 Brauers theorem
126
Chapter 11 Projective representations
174
Chapter 12 Character degrees
198
Chapter 13 Character correspondence
219
Chapter 14 Linear groups
240
Chapter 15 Changing the characteristic
262
Appendix Some character tables
287
Bibliographic notes
292
References
295

Chapter 9 Changing the field
144
Chapter 10 The Schur index
160

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About the author (1976)

Vyacheslav L. Girko is Professor of Mathematics in the Department of Applied Statistics at the National University of Kiev and the University of Kiev Mohyla Academy. He is also affiliated with the Institute of Mathematics, Ukrainian Academy of Sciences. His research interests include multivariate statistical analysis, discriminant analysis, experiment planning, identification and control of complex systems, statistical methods in physics, noise filtration, matrix analysis, and stochastic optimization. He has published widely in the areas of multidimensional statistical analysis and theory of random matrices.

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