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

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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:
Lie-Gruppe
Halbeinfache Lie-Algebra
Gruppentheorie
Group theory.
MATHEMATICS > Group Theory.
Theorie des groupes.
Electronic books.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

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