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Group matrices, group determinants and representation theory : the mathematical legacy of Frobenius

Author: Kenneth W Johnson, (Mathematician)
Publisher: Cham, Switzerland : Springer, 2019. © 2019
Series: Lecture notes in mathematics (Springer-Verlag), 2233.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
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  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Kenneth W Johnson, (Mathematician)
ISBN: 9783030282998 3030282996
OCLC Number: 1107560544
Description: xxv, 381 pages : illustrations ; 24 cm.
Contents: Multiplicative Forms on Algebras and the Group Determinant --
Further GroupMatrices and Group Determinants --
Norm Forms and Group Determinant Factors --
S-Rings, Gelfand Pairs and Association Schemes --
The 2-Characters of a Group and theWeak Cayley Table --
The Extended k-Characters --
Fourier Analysis on Groups, Random Walks and Markov Chains --
K-Characters and n-Homomorphisms --
K-Characters and n-Homomorphisms --
Other Situations Involving Group Matrices --
Spherical Functions on Groups --
The Personal Characteristics of Frobenius.
Series Title: Lecture notes in mathematics (Springer-Verlag), 2233.
Responsibility: Kenneth W. Johnson.

Abstract:

This book sets out an account of the tools which Frobenius used to discover representation theory for nonabelian groups and describes its modern applications.  Read more...

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