Introduction p. 1
Elements of the Theory of Finite Groups p. 4
Discrete Symmetry Groups p. 18
Representations of Finite Groups p. 47
Irreducible Representations of Special Groups p. 87
Tensor Operators and Expectation Values p. 126
Molecular Spectra p. 139
Selection Rules and Matrix Elements p. 183
Representations of Space Groups p. 203
Excitation Spectra and Selection Rules in Crystals p. 230
Lie Groups and Lie Algebras p. 266
Representations by Young Diagrams. The Method of Irreducible Tensors p. 311
Applications of the Theory of Continuous Groups p. 318
Internal Symmetries and Gauge Theories p. 350
App. A. Character Tables p. 406
App. B. Representations of Generators p. 414
App. C. Standard Young-Yamanouchi Representations of the Permutation Groups P[subscript 3]-P[subscript 5] p. 417
App. D. Continuous Groups p. 419
App. E. Stars of k and Symmetry of Special k-Vectors p. 421
App. F. Noether's Theorem p. 422
App. G. Space-Time Symmetry p. 424
App. H. Goldstone's Theorem p. 437
App. I. Remarks on 5-fold Symmetry p. 440
App. J. Supersymmetry p. 449
App. K. List of Symbols and Abbreviations p. 452
References p. 457
Additional Reading p. 463
Subject Index p. 465