Symmetry Groups and Their Applications
by Willard Miller
Academic Press, New York, 1972 (out of print)
PDF files
Chapter 1. Elementary Group Theory
Chapter 2. The Crystallographic Groups
Online extra: Two-Dimensonal Space Groups
Online extra: Magnetic Symmetry Groups
Chapter 3. Group Representation Theory
Online extra: Symmetry and Small Oscillations
Chapter 4. Representations of the Symmetric Groups
Chapter 5. Lie Groups and Lie Algebras
Online extra: Invariants of Transformation Groups
Online extra: Existence Theorems for Differential Equations
Online extra: Hilbert Space Representations
Chapter 7. The Rotation Group and Its Representations
Chapter 8. The Lorentz Group and Its Representations
Chapter 9. Representations of the Classical Groups
Chapter 10. The Harmonic Oscillator Group
Online extra: Appendix on Completely Continuous Symmetric Operators