Locally finite root systems / / Ottmar Loos, Erhard Neher
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| Autore: |
Loos Ottmar
|
| Titolo: |
Locally finite root systems / / Ottmar Loos, Erhard Neher
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 2004 |
| ©2004 | |
| Descrizione fisica: | 1 online resource (232 p.) |
| Disciplina: | 512/.482 |
| Soggetto topico: | Lie superalgebras |
| Root systems (Algebra) | |
| Persona (resp. second.): | NeherErhard <1949-> |
| Note generali: | "Volume 171, Number 811 (end of volume)." |
| Nota di bibliografia: | Includes bibliographical references and indexes. |
| Nota di contenuto: | ""Contents""; ""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""; ""Appendix A. Some standard results on finite root systems""; ""Appendix B. Cones defined by totally preordered sets""; ""Bibliography""; ""Index of notations""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I"" | |
| ""J""""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""W""; ""Z"" | |
| Titolo autorizzato: | Locally finite root systems |
| ISBN: | 1-4704-0412-5 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910818015503321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Volume 171, Number 811.