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Group theory [electronic resource] : birdtracks, Lie's, and exceptional groups / Predrag Cvitanovi�c.

By: Cvitanovi�c, Predrag.
Material type: TextTextPublisher: Princeton, N.J. : Princeton University Press, c2008Description: 1 online resource (xii, 273 p.) : ill.ISBN: 9781400837670 (electronic bk.); 1400837677 (electronic bk.).Subject(s): Group theory | Mathematics | MATHEMATICS -- Group Theory | Halbeinfache Lie-Algebra | Gruppentheorie | Lie-GruppeGenre/Form: Electronic books. | Electronic books.Additional physical formats: Print version:: Group theory.DDC classification: 512/.2 Online resources: EBSCOhost
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 -- Gb2s family of invariance groups -- E family of invariance groups -- Eb6s family of invariance groups -- Fb4s 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
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Includes bibliographical references (p. [251]-268) and index.

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 -- Gb2s family of invariance groups -- E family of invariance groups -- Eb6s family of invariance groups -- Fb4s 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.

Description based on print version record.

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

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Group theory by Cvitanovi�c, Predrag. ©2008
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