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Group Theory : Birdtracks, Lie's, and Exceptional Groups /

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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Detalles Bibliográficos
Autor principal: Cvitanović, Predrag
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, N.J. : Princeton University Press, 2008.
Colección:Book collections on Project MUSE.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Group Theory :   |b Birdtracks, Lie's, and Exceptional Groups /   |c Predrag Cvitanović. 
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505 0 |a 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. 
520 |a 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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