Group Theory : : Birdtracks, Lie's, and Exceptional Groups / / Predrag Cvitanović.
If classical Lie groups preserve bilinear vector norms, what Lie groups preserve trilinear, quadrilinear, and higher order invariants? Answering this question from a fresh and original perspective, Predrag Cvitanovic takes the reader on the amazing, four-thousand-diagram journey through the theory o...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2008] ©2008 |
| Year of Publication: | 2008 |
| Edition: | Course Book |
| Language: | English |
| Online Access: | |
| Physical Description: | 1 online resource (288 p.) :; 4000 birdtrack diagrams. 7 line illus. 31 tables. |
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Table of Contents:
- Frontmatter
- Contents
- Acknowledgments
- Chapter One. Introduction
- Chapter Two. A preview
- Chapter Three. Invariants and reducibility
- Chapter Four. Diagrammatic notation
- Chapter Five. Recouplings
- Chapter Six. Permutations
- Chapter Seven. Casimir operators
- Chapter Eight. Group integrals
- Chapter Nine. Unitary groups
- Chapter Ten. Orthogonal groups
- Chapter Eleven. Spinors
- Chapter Twelve. Symplectic groups
- Chapter Thirteen. Negative dimensions
- Chapter Fourteen. Spinors' symplectic sisters
- Chapter Fifteen. SU(n) family of invariance groups
- Chapter Sixteen. G2 family of invariance groups
- Chapter Seventeen. E8 family of invariance groups
- Chapter Eighteen. E6 family of invariance groups
- Chapter Nineteen. F4 family of invariance groups
- Chapter Twenty. E7 family and its negative-dimensional cousins
- Chapter Twenty-One. Exceptional magic
- Appendix A. Recursive decomposition
- Appendix B. Properties of Young projections
- Bibliography
- Index