Representations And Characters Of Groups
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Representations And Characters Of Groups
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Author : Gordon Douglas James
language : en
Publisher: Cambridge University Press
Release Date : 2001-10-18
Representations And Characters Of Groups written by Gordon Douglas James and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-10-18 with Mathematics categories.
This book provides a modern introduction to the representation theory of finite groups. Now in its second edition, the authors have revised the text and added much new material. The theory is developed in terms of modules, since this is appropriate for more advanced work, but considerable emphasis is placed upon constructing characters. Included here are the character tables of all groups of order less than 32, and all simple groups of order less than 1000. Applications covered include Burnside's paqb theorem, the use of character theory in studying subgroup structure and permutation groups, and how to use representation theory to investigate molecular vibration. Each chapter features a variety of exercises, with full solutions provided at the end of the book. This will be ideal as a course text in representation theory, and in view of the applications, will be of interest to chemists and physicists as well as mathematicians.
Representations And Characters Of Groups
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Author : Gordon James
language : en
Publisher: Cambridge University Press
Release Date : 2001-10-18
Representations And Characters Of Groups written by Gordon James and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-10-18 with Mathematics categories.
This book provides a modern introduction to the representation theory of finite groups. Now in its second edition, the authors have revised the text and added much new material. The theory is developed in terms of modules, since this is appropriate for more advanced work, but considerable emphasis is placed upon constructing characters. Included here are the character tables of all groups of order less than 32, and all simple groups of order less than 1000. Applications covered include Burnside's paqb theorem, the use of character theory in studying subgroup structure and permutation groups, and how to use representation theory to investigate molecular vibration. Each chapter features a variety of exercises, with full solutions provided at the end of the book. This will be ideal as a course text in representation theory, and in view of the applications, will be of interest to chemists and physicists as well as mathematicians.
Representations And Characters Of Groups
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Author : Gordon Douglas James
language : en
Publisher:
Release Date :
Representations And Characters Of Groups written by Gordon Douglas James and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Representations of groups categories.
This book provides a modern introduction to the representation theory of finite groups.
Representations And Characters Of Finite Groups
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Author : M. J. Collins
language : en
Publisher: Cambridge University Press
Release Date : 1990-03-22
Representations And Characters Of Finite Groups written by M. J. Collins and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-03-22 with Mathematics categories.
Representation theory and character theory have proved essential in the study of finite simple groups since their early development by Frobenius. The author begins by presenting the foundations of character theory in a style accessible to advanced undergraduates that requires only a basic knowledge of group theory and general algebra. This theme is then expanded in a self-contained account providing an introduction to the application of character theory to the classification of simple groups. The book follows both strands of the theory: the exceptional characteristics of Suzuki and Feit and the block character theory of Brauer and includes refinements of original proofs that have become available as the subject has grown.
Representations And Characters Of Groups
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Author : Gordon James
language : en
Publisher: Cambridge University Press
Release Date : 2001-10-18
Representations And Characters Of Groups written by Gordon James and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-10-18 with Mathematics categories.
This is the second edition of the popular textbook on representation theory of finite groups. The authors have revised the text greatly and included new chapters on Characters of GL(2,q) and Permutations and Characters. The theory is developed in terms of modules, since this is appropriate for more advanced work, but considerable emphasis is placed upon constructing characters. The character tables of many groups are given, including all groups of order less than 32, and all but one of the simple groups of order less than 1000. Each chapter is accompanied by a variety of exercises, and full solutions to all the exercises are provided at the end of the book.
Representations And Characters Of Groups Second Edition
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Author : Gordon James
language : en
Publisher:
Release Date : 2001
Representations And Characters Of Groups Second Edition written by Gordon James and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.
This book provides a modern introduction to the representation theory of finite groups. Now in its second edition, the authors have revised the text and added much new material. The theory is developed in terms of modules, since this is appropriate for more advanced work, but considerable emphasis is placed upon constructing characters. Included here are the character tables of all groups of order less than 32, and all simple groups of order less than 1000. Applications covered include Burnside's paqb theorem, the use of character theory in studying subgroup structure and permutation groups, and how to use representation theory to investigate molecular vibration. Each chapter features a variety of exercises, with full solutions provided at the end of the book. This will be ideal as a course text in representation theory, and in view of the applications, will be of interest to chemists and physicists as well as mathematicians.
Groups And Characters
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Author : Victor E Hill
language : en
Publisher: CRC Press
Release Date : 2018-12-12
Groups And Characters written by Victor E Hill and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-12 with Mathematics categories.
Group representation theory is both elegant and practical, with important applications to quantum mechanics, spectroscopy, crystallography, and other fields in the physical sciences. This book offers an easy-to-follow introduction to the theory of groups and of group characters. Designed as a rapid survey of the subject, it emphasizes examples and applications of the theorems, and avoids many of the longer and more difficult proofs. The text includes sections that provide the mathematical basis for some of the applications of group theory. It also offers numerous exercises, some stressing computation of concrete examples, others stressing development of the theory.
The Theory Of Group Characters And Matrix Representations Of Groups
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Author : Dudley Ernest Littlewood
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
The Theory Of Group Characters And Matrix Representations Of Groups written by Dudley Ernest Littlewood and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
Originally written in 1940, this book remains a classical source on representations and characters of finite and compact groups. The book starts with necessary information about matrices, algebras, and groups. Then the author proceeds to representations of finite groups. Of particular interest in this part of the book are several chapters devoted to representations and characters of symmetric groups and the closely related theory of symmetric polynomials. The concluding chapters present the representation theory of classical compact Lie groups, including a detailed description of representations of the unitary and orthogonal groups. The book, which can be read with minimal prerequisites (an undergraduate algebra course), allows the reader to get a good understanding of beautiful classical results about group representations.
Groups Representations And Characters
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Author : Victor E. Hill
language : en
Publisher:
Release Date : 1976
Groups Representations And Characters written by Victor E. Hill and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Mathematics categories.
Representations And Characters Of Finite Groups
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Author : Michael John Collins
language : en
Publisher:
Release Date : 1990
Representations And Characters Of Finite Groups written by Michael John Collins and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.