简介:Theauthorsconsiderafamilyoffinite-dimensionalLiesuperalgebrasofO-typeoveranalgebraicallyclosedfieldofcharacteristicp>3.ItisprovedthattheLiesuperalgebrasof■-typearesimpleandthespanningsetsaredetermined.ThenthespanningsetsareemployedtocharacterizethesuperderivationalgebrasoftheseLiesuperalgebras.Finally,theassociativeformsarediscussedandacomparisonismadebetweentheseLiesuperalgebrasandothersimpleLiesuperalgebrasofCartantype.
简介:AcontravariantbilinearpairingKoneveryM(ρ)×M(ρθ)isdeterminedanditisprovedthatM(ρ)isirreducibleifandonlyifKisleftnondegenerate,ItisalsoprovedthateverycyclicpointedmoduleisaquotientofsomeVerma-likepointedmodule;moreoverifitisirreduciblethenitisaquotientoftheVerma-likepointedmodulebytheleftkernelofsomebilinearpairingK.Incasethemassfunctionissymmetric,thereexistsabilinearformonM(ρ),Itisprovedthatunitarypointedmodulesareintegrable,Inaddition,acharacterizationofthemassfunctionsofKac-Moodyalgebrasisgiven,whichisageneralizationofthefinitedimensionalLiealgebrascase.
简介:Inthispaper,theclassicalLiegroupapproachisextendedtofindsomeLiepointsymmetriesofdifferentialdifferenceequations.ItrevealsthattheobtainedLiepointsymmetriescanconstituteaKac-Moody-Virasoroalgebra.