02747nam 2200565 450 991081880960332120170822144304.00-8218-8521-9(CKB)3360000000464074(EBL)3114578(SSID)ssj0000888820(PQKBManifestationID)11456887(PQKBTitleCode)TC0000888820(PQKBWorkID)10866477(PQKB)10592419(MiAaPQ)EBC3114578(RPAM)17001478(PPN)195419030(EXLCZ)99336000000046407420150416h20112011 uy 0engur|n|---|||||txtccrChevalley supergroups /R. Fioresi, F. GavariniProvidence, Rhode Island :American Mathematical Society,2011.©20111 online resource (64 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 215, Number 1014"January 2012, Volume 215, Number 1014 (end of volume)."0-8218-5300-7 Includes bibliographical references.""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 â€?form""; ""4.2. Commutation rules""; ""4.3. Kostant's PBW-like theorem""; ""Chapter 5. Chevalley supergroups""; ""5.1. Admissible lattices""""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""Memoirs of the American Mathematical Society ;Volume 215, Number 1014.Chevalley groupsSuperalgebrasChevalley groups.Superalgebras.515/.55Fioresi Rita1966-322823Gavarini F(Fabio),1968-MiAaPQMiAaPQMiAaPQBOOK9910818809603321Chevalley supergroups3941920UNINA