LEADER 02750nam 2200565 450 001 9910480588803321 005 20170822144304.0 010 $a0-8218-8521-9 035 $a(CKB)3360000000464074 035 $a(EBL)3114578 035 $a(SSID)ssj0000888820 035 $a(PQKBManifestationID)11456887 035 $a(PQKBTitleCode)TC0000888820 035 $a(PQKBWorkID)10866477 035 $a(PQKB)10592419 035 $a(MiAaPQ)EBC3114578 035 $a(PPN)195419030 035 $a(EXLCZ)993360000000464074 100 $a20150416h20112011 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aChevalley supergroups /$fR. Fioresi, F. Gavarini 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2011. 210 4$dİ2011 215 $a1 online resource (64 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 215, Number 1014 300 $a"January 2012, Volume 215, Number 1014 (end of volume)." 311 $a0-8218-5300-7 320 $aIncludes bibliographical references. 327 $a""Contents""; ""Chapter 1. Introduction""; ""Acknowledgements""; ""Chapter 2. Preliminaries""; ""2.1. Superalgebras, superspaces, supergroups""; ""2.2. Lie superalgebras""; ""2.3. Homogeneous one-parameter supersubgroups""; ""Chapter 3. Chevalley bases and Chevalley algebras""; ""3.1. Root systems""; ""3.2. Chevalley bases and algebras""; ""3.3. Existence of Chevalley bases""; ""Chapter 4. Kostant superalgebras""; ""4.1. Kostant's Z a???form""; ""4.2. Commutation rules""; ""4.3. Kostant's PBW-like theorem""; ""Chapter 5. Chevalley supergroups""; ""5.1. Admissible lattices"" 327 $a""5.2. Construction of Chevalley supergroups""""5.3. Chevalley supergroups as algebraic supergroups""; ""5.4. Independence of Chevalley and Kostant superalgebras""; ""5.5. Lie's Third Theorem for Chevalley supergroups""; ""Chapter 6. The cases A(1,1) , P(3) and Q(n) ""; ""6.1. Chevalley bases and Chevalley superalgebras""; ""6.2. Kostant superalgebras""; ""6.3. Chevalley supergroups and their properties""; ""Appendix A. Sheafification""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 215, Number 1014. 606 $aChevalley groups 606 $aSuperalgebras 608 $aElectronic books. 615 0$aChevalley groups. 615 0$aSuperalgebras. 676 $a515/.55 700 $aFioresi$b Rita$f1966-$0322823 702 $aGavarini$b F$g(Fabio),$f1968- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480588803321 996 $aChevalley supergroups$92099147 997 $aUNINA