Table of Contents

1. Basic definitions and examples; 2. Representation theory of finite groups; 3. Molecular vibrations and homogeneous vector bundles; 4. Compact groups and Lie groups; 5. Irreducible representations of SU(n); Appendixces; Further reading; Index.

Promotional Information

A cohesive and well-motivated introduction to group theory and its application to physics.

Reviews

'This excellent book contains an introduction to the theory of abstract groups, Lie groups and their representations combined with applications of this theory in physics ... a cohesive presentation of physics and mathematics.' A. L. Onishchik, Zentralblatt fur Mathematik 'The book is a very good example of a bedside or coffee table book. One can dip into it for fun, keep on reading, and end up learning something useful. I raided it last spring to add spice to my introductory course on 'Lie Groups' at Cambridge.' C. B. Thomas, Bulletin of the London Mathematical Society 'This is a remarkable book ... The author shows how physical considerations lead naturally to mathematical notions and their investigations, and how mathematical achievements influence the development of physics ... I can strongly recommend the book.' European Mathematical Society Newsletter