The Theory Of Group Characters And Matrix Representations Of Groups

Author : Dudley Ernest Littlewood
Publisher : American Mathematical Soc.
ISBN 13 : 0821840673
Total Pages : 322 pages
Book Rating : 4.72/5 ( download)

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Download or read book The Theory of Group Characters and Matrix Representations of Groups written by Dudley Ernest Littlewood and published by American Mathematical Soc.. This book was released on 2005 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Dudley E. Littlewood
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.58/5 ( download)

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Download or read book The Theory of Group Characters and Matrix Representations of Groups written by Dudley E. Littlewood and published by . This book was released on 1916 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Dudley Ernest Littlewood
Publisher : American Mathematical Soc.
ISBN 13 : 9780821874356
Total Pages : 328 pages
Book Rating : 4.57/5 ( download)

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Download or read book The Theory of Group Characters and Matrix Representations of Groups written by Dudley Ernest Littlewood and published by American Mathematical Soc.. This book was released on 1977 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 chapterspresent 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 ofbeautiful classical results about group representations.

Author : Victor E Hill
Publisher : CRC Press
ISBN 13 : 135144381X
Total Pages : 239 pages
Book Rating : 4.14/5 ( download)

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Download or read book Groups and Characters written by Victor E Hill and published by CRC Press. This book was released on 2018-12-12 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Gordon James
Publisher : Cambridge University Press
ISBN 13 : 1139811053
Total Pages : 436 pages
Book Rating : 4.57/5 ( download)

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Download or read book Representations and Characters of Groups written by Gordon James and published by Cambridge University Press. This book was released on 2001-10-18 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Martin Burrow
Publisher : Academic Press
ISBN 13 : 1483258211
Total Pages : 196 pages
Book Rating : 4.18/5 ( download)

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Download or read book Representation Theory of Finite Groups written by Martin Burrow and published by Academic Press. This book was released on 2014-05-10 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Representation Theory of Finite Groups is a five chapter text that covers the standard material of representation theory. This book starts with an overview of the basic concepts of the subject, including group characters, representation modules, and the rectangular representation. The succeeding chapters describe the features of representation theory of rings with identity and finite groups. These topics are followed by a discussion of some of the application of the theory of characters, along with some classical theorems. The last chapter deals with the construction of irreducible representations of groups. This book will be of great value to graduate students who wish to acquire some knowledge of representation theory.

Author : Gordon Douglas James
Publisher : Cambridge University Press
ISBN 13 : 9780521003926
Total Pages : 476 pages
Book Rating : 4.2X/5 ( download)

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Download or read book Representations and Characters of Groups written by Gordon Douglas James and published by Cambridge University Press. This book was released on 2001-10-18 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introducing the representation theory of finite groups, this second edition has been revised and updated. The theory is developed in terms of modules with considerable emphasis placed upon constructing characters.

Author : Peter Webb
Publisher : Cambridge University Press
ISBN 13 : 1107162394
Total Pages : 339 pages
Book Rating : 4.96/5 ( download)

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Download or read book A Course in Finite Group Representation Theory written by Peter Webb and published by Cambridge University Press. This book was released on 2016-08-19 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject, detailing the methods needed to analyze representations that arise in many areas of mathematics. Key topics include the construction and use of character tables, the role of induction and restriction, projective and simple modules for group algebras, indecomposable representations, Brauer characters, and block theory. This classroom-tested text provides motivation through a large number of worked examples, with exercises at the end of each chapter that test the reader's knowledge, provide further examples and practice, and include results not proven in the text. Prerequisites include a graduate course in abstract algebra, and familiarity with the properties of groups, rings, field extensions, and linear algebra.

Author : Walter Ledermann
Publisher : CUP Archive
ISBN 13 : 9780521337816
Total Pages : 244 pages
Book Rating : 4.1X/5 ( download)

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Download or read book Introduction to Group Characters written by Walter Ledermann and published by CUP Archive. This book was released on 1987-07-30 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory text, suitable for final-year undergraduates or postgraduate students.

Author : Kenneth W. Johnson
Publisher : Springer Nature
ISBN 13 : 3030283003
Total Pages : 384 pages
Book Rating : 4.01/5 ( download)

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Download or read book Group Matrices, Group Determinants and Representation Theory written by Kenneth W. Johnson and published by Springer Nature. This book was released on 2019-11-08 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.