Combinatorics of minuscule representations /

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"Highest weight modules play a key role in the representation theory of several classes of algebraic objects occurring in Lie theory, including Lie algebras, Lie groups, algebraic groups, Chevalley groups and quantized enveloping algebras. In many of the most important situations, the weights m...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Green, R. M., 1971-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2013.
Colección:Cambridge tracts in mathematics ; 199.
Temas:
Representations of Lie algebras.
Combinatorial analysis.
Représentations des algèbres de Lie.
Analyse combinatoire.
MATHEMATICS > Algebra > General.
MATHEMATICS > Algebra > Intermediate.
Análisis combinatorio
Lie, Áglebras de
Combinatorial analysis
Representations of Lie algebras
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Introduction
  • 1. Classical Lie algebras and Weyl groups
  • 2. Heaps over graphs
  • 3. Weyl group actions
  • 4 Lie theory
  • 5. Minuscule representations
  • 6. Full heaps over affine Dynkin diagrams
  • 7. Chevalley bases
  • 8. Combinatorics of Weyl groups
  • 9. The 28 bitangents
  • 10. Exceptional structures
  • 11. Further topics
  • Appendix A: Posets, graphs and categories
  • Appendix B: Lie theoretic data.

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