构造entwined模范畴成为辫子张量范畴 英文.doc

构造entwined模范畴成为辫子张量范畴_英文_MakingthecategoryofentwinedmintoabraidedmonoidalcaodulestegoryLiuLingWangShuanhong(DrtmtofMthemtics,tUity,Njing211189,epaenaaSoutheasniversanC)inahψAbstract:Thequestionofhowthecategoryofentwinedm)(210c=10ψAAodulescψψ<canbemadeintoabraidedmonoidalcategoryisstudied.()Δ()3ac=ac000ψψ<1First,thesufficientandnecessaryconditionsmakingthecac2ψtegoryintoaisanentwiningstructure,thenAcanbemadeintoan0()ε()ε()4ca=caψCthatthealgebraψ()OveranentwiningstructureA,C,,,thebraidingisconstructedbymψρψ()()ma=mm0a=ma0meansofatwistedconvolutioninvertiblemapQ,andthe()()()()ψ0101conditionsmakingthecategoryformintoabraidedmonoidaforanya?Aandm?,theconstructionαβ()2HopfmodulesDoi,():Doi2H[1]module;entwmodule;.[425].[1](ψ)ψ()n1998,BrzezinskiandMaintroducedthenotionDefinition2WecallA,C,amonoidalentwinjidofψ()entwinedmodules,whichcontainedtheLongdatumifA,C,isarightrightentwiningstructure2ingIYetter2Drinfeldmodu