Representations and characters of groups:
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 i...
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Format: | E-Book |
Sprache: | Englisch |
Veröffentlicht: |
Cambridge
Cambridge University Press
2001
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Ausgabe: | Second edition. |
Links: | https://doi.org/10.1017/CBO9780511814532 |
Zusammenfassung: | 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. |
Umfang: | 1 Online-Ressource (viii, 458 Seiten) |
ISBN: | 9780511814532 |
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100 | 1 | |a James, G. D. |d 1945- | |
245 | 1 | 0 | |a Representations and characters of groups |c Gordon James and Martin Liebeck |
246 | 3 | |a Representations & Characters of Groups | |
250 | |a Second edition. | ||
264 | 1 | |a Cambridge |b Cambridge University Press |c 2001 | |
300 | |a 1 Online-Ressource (viii, 458 Seiten) | ||
336 | |b txt | ||
337 | |b c | ||
338 | |b cr | ||
520 | |a 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. | ||
700 | 1 | |a Liebeck, M. W. |d 1954- | |
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spelling | James, G. D. 1945- Representations and characters of groups Gordon James and Martin Liebeck Representations & Characters of Groups Second edition. Cambridge Cambridge University Press 2001 1 Online-Ressource (viii, 458 Seiten) txt c cr 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. Liebeck, M. W. 1954- Erscheint auch als Druck-Ausgabe 9780521003926 Erscheint auch als Druck-Ausgabe 9780521812054 |
spellingShingle | James, G. D. 1945- Representations and characters of groups |
title | Representations and characters of groups |
title_alt | Representations & Characters of Groups |
title_auth | Representations and characters of groups |
title_exact_search | Representations and characters of groups |
title_full | Representations and characters of groups Gordon James and Martin Liebeck |
title_fullStr | Representations and characters of groups Gordon James and Martin Liebeck |
title_full_unstemmed | Representations and characters of groups Gordon James and Martin Liebeck |
title_short | Representations and characters of groups |
title_sort | representations and characters of groups |
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