The Theory Of Group Characters And Matrix Representations Of Groups
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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 : 1977
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 1977 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 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.
The Theory Of Group Characters And Matrix Representations Of Groups
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Author : Dudley Ernest Littlewood
language : en
Publisher: Hassell Street Press
Release Date : 2021-09-09
The Theory Of Group Characters And Matrix Representations Of Groups written by Dudley Ernest Littlewood and has been published by Hassell Street Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-09 with categories.
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
The Theory Of Group Characters And Matrix Representations Of Groups
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Author :
language : en
Publisher:
Release Date : 1950
The Theory Of Group Characters And Matrix Representations Of Groups written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1950 with Characters of groups categories.
The Theory Of Group Characters And Matrix Representations Of Groups
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Author : Dudley Ernest Littlewood
language : en
Publisher:
Release Date : 1992
The Theory Of Group Characters And Matrix Representations Of Groups written by Dudley Ernest Littlewood and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
Introduction To Group Characters
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Author : Walter Ledermann
language : en
Publisher: CUP Archive
Release Date : 1987-07-30
Introduction To Group Characters written by Walter Ledermann and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-07-30 with Mathematics categories.
This is an introductory text, suitable for final-year undergraduates or postgraduate students.
A Course In Finite Group Representation Theory
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Author : Peter Webb
language : en
Publisher: Cambridge University Press
Release Date : 2016-08-19
A Course In Finite Group Representation Theory written by Peter Webb 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 2016-08-19 with Mathematics categories.
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.
The Theory Of Group Characters And Matrix Representations Of Groups
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Author : Dudley E. Littlewood
language : en
Publisher:
Release Date : 2006
The Theory Of Group Characters And Matrix Representations Of Groups written by Dudley E. Littlewood and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.
Representation Theory Of Finite Groups
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Author : Martin Burrow
language : en
Publisher: Courier Corporation
Release Date : 2014-05-05
Representation Theory Of Finite Groups written by Martin Burrow and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-05 with Mathematics categories.
DIVConcise, graduate-level exposition covers representation theory of rings with identity, representation theory of finite groups, more. Exercises. Appendix. 1965 edition. /div
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.
Character Theory Of Finite Groups
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Author : I. Martin Isaacs
language : en
Publisher: American Mathematical Soc.
Release Date : 2006-11-21
Character Theory Of Finite Groups written by I. Martin Isaacs 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 2006-11-21 with Mathematics categories.
Character theory is a powerful tool for understanding finite groups. In particular, the theory has been a key ingredient in the classification of finite simple groups. Characters are also of interest in their own right, and their properties are closely related to properties of the structure of the underlying group. The book begins by developing the module theory of complex group algebras. After the module-theoretic foundations are laid in the first chapter, the focus is primarily on characters. This enhances the accessibility of the material for students, which was a major consideration in the writing. Also with students in mind, a large number of problems are included, many of them quite challenging. In addition to the development of the basic theory (using a cleaner notation than previously), a number of more specialized topics are covered with accessible presentations. These include projective representations, the basics of the Schur index, irreducible character degrees and group structure, complex linear groups, exceptional characters, and a fairly extensive introduction to blocks and Brauer characters. This is a corrected reprint of the original 1976 version, later reprinted by Dover. Since 1976 it has become the standard reference for character theory, appearing in the bibliography of almost every research paper in the subject. It is largely self-contained, requiring of the reader only the most basic facts of linear algebra, group theory, Galois theory and ring and module theory.