TY - BOOK ID - 4794655 TI - Groups and Symmetries : From Finite Groups to Lie Groups AU - Kosmann-Schwarzbach, Yvette AU - SpringerLink (Online service) PY - 2010 SN - 9780387788661 9780387788654 PB - New York NY Springer New York DB - UniCat KW - Mathematics. KW - Group Theory and Generalizations. KW - Applications of Mathematics. KW - Theoretical, Mathematical and Computational Physics. KW - Quantum Physics. KW - Crystallography. KW - Group theory. KW - Quantum theory. KW - Mathématiques KW - Groupes, Théorie des KW - Théorie quantique KW - Cristallographie KW - Théorie des groupes KW - Representations of groups. KW - Finite groups. KW - Lie groups. KW - Représentations de groupes KW - Groupes finis KW - Lie, Groupes de KW - Représentations de groupes. KW - Groupes finis. KW - Lie, Groupes de. KW - Groupes, Théorie des. UR - https://www.unicat.be/uniCat?func=search&query=sysid:4794655 AB - 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. ER -