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Locally finite root systems /
Introduction The category of sets in vector spaces Finiteness conditions and bases Locally finite root systems Invariant inner products and the coroot system Weyl groups Integral bases, root bases and Dynkin diagrams Weights and coweights Classification More on Weyl groups and automorphism groups Pa...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
2004.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 811. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Introduction 1. The category of sets in vector spaces 2. Finiteness conditions and bases 3. Locally finite root systems 4. Invariant inner products and the coroot system 5. Weyl groups 6. Integral bases, root bases and Dynkin diagrams 7. Weights and coweights 8. Classification 9. More on Weyl groups and automorphism groups 10. Parabolic subsets and positive systems for symmetric sets in vector spaces 11. Parabolic subsets of root systems and presentations of the root lattice and the Weyl group 12. Closed and full subsystems of finite and infinite classical root systems 13. Parabolic subsets of root systems: classification 14. Positive systems in root systems 15. Positive linear forms and facets 16. Dominant and fundamental weights 17. Gradings of root systems 18. Elementary relations and graphs in 3-graded root systems.