Preface, Pages vii-viii
Chapter 1 - The Basic Framework, Pages 1-18
Chapter 2 - The Structure of Groups, Pages 19-34
Chapter 3 - Lie Groups, Pages 35-46
Chapter 4 - Representations of Groups — Principal Ideas, Pages 47-63
Chapter 5 - Representations of Groups — Developments, Pages 65-91
Chapter 6 - Group Theory in Quantum Mechanical Calculations, Pages 93-102
Chapter 7 - Crystallographic Space Groups, Pages 103-134
Chapter 8 - The Role of Lie Algebras, Pages 135-151
Chapter 9 - The Relationships between Lie Groups and Lie Algebras Explored, Pages 153-173
Chapter 10 - The Three-dimensional Rotation Groups, Pages 175-192
Chapter 11 - The Structure of Semi-simple Lie Algebras, Pages 193-234
Chapter 12 - Representations of Semi-simple Lie Algebras, Pages 235-254
Chapter 13 - Symmetry schemes for the elementary particles, Pages 255-268
Appendix A - Matrices, Pages 271-278
Appendix B - Vector Spaces, Pages 279-298
Appendix C - Character Tables for the Crystallographic Point Groups, Pages 299-318
Appendix D - Properties of the Classical Simple Complex Lie Algebras, Pages 319-326
References, Pages 327-333
Index, Pages 335-349
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