| Description |
1 online resource (xii, 273 pages) : illustrations |
| Physical Medium |
polychrome |
| Description |
text file |
| Bibliography |
Includes bibliographical references (pages 251-268) and index. |
| Contents |
A preview -- Invariants and reducibility -- Diagrammatic notation -- Recouplings -- Permutations -- Casimir operators -- Group integrals -- Unitary groups / P. Cvitanovic, H. Elvang, and A.D. Kennedy -- Orthogonal groups -- Spinors / P. Cvitanovic and A.D. Kennedy -- Symplectic groups -- Negative dimensions / P. Cvitanovic and A.D. Kennedy -- Spinors' symplectic sisters / P. Cvitanovic and A.D. Kennedy -- SU(n) family of invariance groups -- G₂ family of invariance groups -- E family of invariance groups -- E₆ family of invariance groups -- F₄ family of invariance groups -- E-- family and its negative-dimensional cousins -- Exceptional magic -- Appendix A: Recursive decomposition -- Appendix B: Properties of young projections / H. Elvang and P. Cvitanovic. |
| Summary |
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 of Lie groups. This book is the first to systematically develop, explain, and apply diagrammatic projection operators to construct all semi-simple Lie algebras, both classical and exceptional. The invariant tensors are presented in a somewhat unconventional, but in recent years widely used, "birdt. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Group theory.
|
|
Group theory. |
| Genre/Form |
Electronic books.
|
|
Electronic books.
|
| Other Form: |
Print version: Cvitanović, Predrag. Group theory. Princeton, N.J. : Princeton University Press, ©2008 9780691118369 (DLC) 2008062101 (OCoLC)213133467 |
| ISBN |
9781400837670 (electronic book) |
|
1400837677 (electronic book) |
|
9780691118369 |
|
0691118361 |
|
