LEADER 02988nam 2200577 450 001 9910788747403321 005 20170816143340.0 010 $a1-4704-0412-5 035 $a(CKB)3360000000464995 035 $a(EBL)3114190 035 $a(SSID)ssj0000973316 035 $a(PQKBManifestationID)11582520 035 $a(PQKBTitleCode)TC0000973316 035 $a(PQKBWorkID)10958891 035 $a(PQKB)10440932 035 $a(MiAaPQ)EBC3114190 035 $a(RPAM)13588830 035 $a(PPN)195416988 035 $a(EXLCZ)993360000000464995 100 $a20150417h20042004 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLocally finite root systems /$fOttmar Loos, Erhard Neher 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2004. 210 4$dİ2004 215 $a1 online resource (232 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 171, Number 811 300 $a"Volume 171, Number 811 (end of volume)." 311 $a0-8218-3546-7 320 $aIncludes bibliographical references and indexes. 327 $a""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"" 327 $a""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"" 327 $a""J""""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""W""; ""Z"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 171, Number 811. 606 $aLie superalgebras 606 $aRoot systems (Algebra) 615 0$aLie superalgebras. 615 0$aRoot systems (Algebra) 676 $a512/.482 700 $aLoos$b Ottmar$059242 702 $aNeher$b Erhard$f1949- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788747403321 996 $aLocally finite root systems$93838172 997 $aUNINA