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

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...

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Detalles Bibliográficos
Autor principal: Johnson, Kenneth W
Lenguaje:eng
Publicado: Springer 2019
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-030-28300-1
http://cds.cern.ch/record/2700108
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author Johnson, Kenneth W
author_facet Johnson, Kenneth W
author_sort Johnson, Kenneth W
collection CERN
description 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.
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spelling cern-27001082021-04-21T18:15:28Zdoi:10.1007/978-3-030-28300-1http://cds.cern.ch/record/2700108engJohnson, Kenneth WGroup matrices, group determinants and representation theory: the mathematical legacy of FrobeniusMathematical Physics and MathematicsThis 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.Springeroai:cds.cern.ch:27001082019
spellingShingle Mathematical Physics and Mathematics
Johnson, Kenneth W
Group matrices, group determinants and representation theory: the mathematical legacy of Frobenius
title Group matrices, group determinants and representation theory: the mathematical legacy of Frobenius
title_full Group matrices, group determinants and representation theory: the mathematical legacy of Frobenius
title_fullStr Group matrices, group determinants and representation theory: the mathematical legacy of Frobenius
title_full_unstemmed Group matrices, group determinants and representation theory: the mathematical legacy of Frobenius
title_short Group matrices, group determinants and representation theory: the mathematical legacy of Frobenius
title_sort group matrices, group determinants and representation theory: the mathematical legacy of frobenius
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-030-28300-1
http://cds.cern.ch/record/2700108
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