摘要
AcontravariantbilinearpairingKoneveryM(ρ）×M（ρθ)isdeterminedanditisprovedthatM(ρ)isirreducibleifandonlyifKisleftnondegenerate,ItisalsoprovedthateverycyclicpointedmoduleisaquotientofsomeVerma-likepointedmodule;moreoverifitisirreduciblethenitisaquotientoftheVerma-likepointedmodulebytheleftkernelofsomebilinearpairingK.Incasethemassfunctionissymmetric,thereexistsabilinearformonM(ρ),Itisprovedthatunitarypointedmodulesareintegrable,Inaddition,acharacterizationofthemassfunctionsofKac-Moodyalgebrasisgiven,whichisageneralizationofthefinitedimensionalLiealgebrascase.
出版日期
1995年02月12日（中国期刊网平台首次上网日期，不代表论文的发表时间）
