Book contents
- Frontmatter
- Contents
- Preface
- List of symbols
- 1 Linear transformations
- 2 The theory of matrix transformations
- 3 Elements of abstract group theory
- 4 Unitary and orthogonal groups
- 5 The point groups of finite order
- 6 Theory of group representations
- 7 Construction of symmetry-adapted linear combinations based on the correspondence theorem
- 8 Subduced and induced representations
- 9 Elements of continuous groups
- 10 The representations of the rotation group
- 11 Single- and double-valued representations of point groups
- 12 Projective representations
- 13 The 230 space groups
- 14 Representations of the space groups
- 15 Applications of unirreps of space groups to energy bands and vibrational modes of crystals
- 16 Time reversal, anti-unitary point groups and their co-representations
- 17 Anti-unitary space groups and their co-representations
- Appendix Character tables of the crystal point groups
- References
- Index
2 - The theory of matrix transformations
Published online by Cambridge University Press: 12 November 2009
Book contents
- Frontmatter
- Contents
- Preface
- List of symbols
- 1 Linear transformations
- 2 The theory of matrix transformations
- 3 Elements of abstract group theory
- 4 Unitary and orthogonal groups
- 5 The point groups of finite order
- 6 Theory of group representations
- 7 Construction of symmetry-adapted linear combinations based on the correspondence theorem
- 8 Subduced and induced representations
- 9 Elements of continuous groups
- 10 The representations of the rotation group
- 11 Single- and double-valued representations of point groups
- 12 Projective representations
- 13 The 230 space groups
- 14 Representations of the space groups
- 15 Applications of unirreps of space groups to energy bands and vibrational modes of crystals
- 16 Time reversal, anti-unitary point groups and their co-representations
- 17 Anti-unitary space groups and their co-representations
- Appendix Character tables of the crystal point groups
- References
- Index
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- Publisher: Cambridge University PressPrint publication year: 1999