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Record Nr. |
UNINA9910788747403321 |
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Autore |
Loos Ottmar |
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Titolo |
Locally finite root systems / / Ottmar Loos, Erhard Neher |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2004 |
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©2004 |
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ISBN |
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Descrizione fisica |
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1 online resource (232 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 171, Number 811 |
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Disciplina |
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Soggetti |
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Lie superalgebras |
Root systems (Algebra) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 171, Number 811 (end of volume)." |
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Nota di bibliografia |
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Includes bibliographical references and indexes. |
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Nota di contenuto |
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""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"" |
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