Lie Groups, Lie Algebras & Some of Their Applications

This text introduces graduate students to Lie group theory and its physical applications with rigor and clarity. An opening discussion of introductory concepts leads to explorations of the classical groups, continuous groups and Lie groups, and Lie groups and Lie algebras. Some simple but illuminating examples are followed by examinations of classical algebras, Lie algebras and root spaces, root spaces and Dynkin diagrams, real forms, and contractions and expansions. Reinforced by numerous exercises, solved problems, and figures, the text concludes with a bibliography and indexes. 1974 ed. 75 figures. 17 tables.