| Description |
1 online resource (xii, 273 pages) : illustrations |
| 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. |
| Note |
Print version record. |
| 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. |
| Subject |
Group theory.
|
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Mathematics.
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MATHEMATICS -- Group Theory.
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Group theory. (OCoLC)fst00948521
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Halbeinfache Lie-Algebra.
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Gruppentheorie.
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Lie-Gruppe.
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| Genre/Form |
Electronic books.
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| Other Form: |
Print version: Cvitanović, Predrag. Group theory. Princeton, N.J. : Princeton University Press, ©2008 9780691118369 (DLC) 2008062101 (OCoLC)213133467 |
| ISBN |
9781400837670 (electronic bk.) |
|
1400837677 (electronic bk.) |
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