02991nam 2200577 450 991048051560332120170816143340.01-4704-0412-5(CKB)3360000000464995(EBL)3114190(SSID)ssj0000973316(PQKBManifestationID)11582520(PQKBTitleCode)TC0000973316(PQKBWorkID)10958891(PQKB)10440932(MiAaPQ)EBC3114190(PPN)195416988(EXLCZ)99336000000046499520150417h20042004 uy 0engur|n|---|||||txtccrLocally finite root systems /Ottmar Loos, Erhard NeherProvidence, Rhode Island :American Mathematical Society,2004.©20041 online resource (232 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 171, Number 811"Volume 171, Number 811 (end of volume)."0-8218-3546-7 Includes bibliographical references and indexes.""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""Memoirs of the American Mathematical Society ;Volume 171, Number 811.Lie superalgebrasRoot systems (Algebra)Electronic books.Lie superalgebras.Root systems (Algebra)512/.482Loos Ottmar59242Neher Erhard1949-MiAaPQMiAaPQMiAaPQBOOK9910480515603321Locally finite root systems2113260UNINA