عنوان

Group matrices, group determinants and representation theory :

(Number (ISBN

3030283003

(Number (ISBN

9783030283001

Erroneous ISBN

3030282996

Erroneous ISBN

9783030282998

Title Proper

Group matrices, group determinants and representation theory :

General Material Designation

[Book]

Other Title Information

the mathematical legacy of Frobenius /

First Statement of Responsibility

Kenneth W. Johnson.

Place of Publication, Distribution, etc.

Cham, Switzerland :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

2019.

Specific Material Designation and Extent of Item

1 online resource (xxv, 384 pages) :

Other Physical Details

illustrations.

Series Title

Lecture notes in mathematics,

Volume Designation

2233

ISSN of Series

0075-8434 ;

Text of Note

Includes bibliographical references and indexes.

Text of Note

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.

0

Text of Note

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 working either in group representation theory or in areas of mathematics where representation theory is involved. Parts of it may be used to introduce undergraduates to representation theory by studying the appealing pattern structure of group matrices. It is also intended to attract readers who are curious about ideas close to the heart of group representation theory, which do not usually appear in modern accounts, but which offer new perspectives.

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9783030283001

International Standard Book Number

9783030282998

Representations of groups.

Representations of groups.

Number

Edition

Class number

Johnson, Kenneth W.

Date of Transaction

20200823093906.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y