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Groups and symmetries : from finite groups to Lie groups
Unlike many other texts, this book deals with the theory of representations of finite groups, compact groups, linear Lie groups and their Lie algebras, concisely and in one volume. Key Topics: Brisk review of the basic definitions of group theory, with examples Representation theory of finite groups...
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| Autres auteurs : | |
| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Groups and symmetries : from finite groups to Lie groups / Yvette Kosmann-Schwarzbach; translated by Stephanie Frank Singer |
| Publié : |
New York :
Springer
, copyright 2010 |
| Description matérielle : | 1 vol. (XV-194 p.) |
| Collection : | Universitext (Berlin. Print) |
| Accès en ligne : |
Lien vers la table des matières
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| Traduction de : | Groupes et symétries : groupes finis, groupes et algèbres de Lie, représentations |
| Sujets : | |
| Documents associés : | Autre format:
Groups and symmetries |
| Résumé : | Unlike many other texts, this book deals with the theory of representations of finite groups, compact groups, linear Lie groups and their Lie algebras, concisely and in one volume. Key Topics: Brisk review of the basic definitions of group theory, with examples Representation theory of finite groups: character theory Representations of compact groups using the Haar measure Lie algebras and linear Lie groups Detailed study of SO(3) and SU(2), and their representations Spherical harmonics Representations of SU(3), roots and weights, with quark theory as a consequence of the mathematical properties of this symmetry group This book is illustrated with portraits and a few historical remarks. With only linear algebra and calculus as prerequisites, Groups and Symmetries: From Finite Groups to Lie Groups is accessible to advanced undergraduates in mathematics and physics, and will still be of interest to beginning graduate students. Exercises for each chapter and a collection of problems with complete solutions make this an ideal text for the classroom and for independent study |
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| Notes : | Lien vers la table des matières Trad. révisée et adaptée de "Groupes et symétries : groupes finis, groupes et algèbres de Lie, représentations" |
| Bibliographie : | Bibliogr. p. [185]-189. Notes bibliogr. Index |
| ISBN : | 978-0-387-78865-4 |