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[null,"1.","Record Nr.",null,"UNINA9910480515603321"]
[null,null,"Autore",null,"Loos Ottmar"]
[null,null,"Titolo",null,"Locally finite root systems / / Ottmar Loos, Erhard Neher"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 2004"]
[{"$nulls":4},"©2004"]
[null,null,"ISBN",null,"1-4704-0412-5"]
[null,null,"Descrizione fisica",null,"1 online resource (232 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 171, Number 811"]
[null,null,"Disciplina",null,"512/.482"]
[null,null,"Soggetti",null,"Lie superalgebras"]
[{"$nulls":4},"Root systems (Algebra)"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"Volume 171, Number 811 (end of volume).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and indexes."]
[null,null,"Nota di contenuto",null,"\"\"Contents\"\"; \"\"Introduction\"\"; \"\"1. The category of sets in vector spaces\"\"; \"\"2. Finiteness conditions and bases\"\"; \"\"3. Locally finite root systems\"\"; \"\"4. Invariant inner products and the coroot system\"\"; \"\"5. Weyl groups\"\"; \"\"6. Integral bases, root bases and Dynkin diagrams\"\"; \"\"7. Weights and coweights\"\"; \"\"8. Classification\"\"; \"\"9. More on Weyl groups and automorphism groups\"\"; \"\"10. Parabolic subsets and positive systems for symmetric sets in vector spaces\"\"; \"\"11. Parabolic subsets of root systems and presentations of the root lattice and the Weyl group\"\""]
[{"$nulls":4},"\"\"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\"\""]
[{"$nulls":4},"\"\"J\"\"\"\"L\"\"; \"\"M\"\"; \"\"N\"\"; \"\"O\"\"; \"\"P\"\"; \"\"Q\"\"; \"\"R\"\"; \"\"S\"\"; \"\"T\"\"; \"\"U\"\"; \"\"W\"\"; \"\"Z\"\""]