- Harris, Representation Theory, A First Course, 3rd ed. Springer (1991). For an introduction to some aspects of Lie group di erential geometry not covered in this course: M. Nakahara, Geometry, Topology and Physics, 2nd ed., Institute of Physics Pub-lishing (2003). References for Spacetime Symmetry and Gauge Theory Applications.
- Textbooks; W.K.Tung, 'Group Theory in Physics', World Scientific (1985) J.F.Cornwell, 'Group Theory in Physics', Volume I, Academic Press (1984).
Harris, Representation Theory, A First Course, 3rd ed. Springer (1991). For an introduction to some aspects of Lie group di erential geometry not covered in this course: M. Nakahara, Geometry, Topology and Physics, 2nd ed., Institute of Physics Pub-lishing (2003). References for Spacetime Symmetry and Gauge Theory Applications.
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Content:
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
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