This book is an introduction to group theory and its application to physics. The author considers the physical applications and develops mathematical theory in a presentation that is unusually cohesive and well-motivated. The book discusses many modern topics including molecular vibrations, homogeneous vector bundles, compact groups and Lie groups, and there is much discussion of the group SU(n) and its representations, which is of great significance in elementary particle physics. The author also considers applications to solid-state physics. This is an essential resource for senior undergraduates and researchers in physics and applied mathematics.
'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