幾類lean擬遺傳代數(shù)的構(gòu)造性刻劃.pdf

1、廈門大學碩士學位論文幾類lean擬遺傳代數(shù)的構(gòu)造性刻劃姓名：周忠眉申請學位級別：碩士專業(yè)：基礎(chǔ)數(shù)學指導教師：林亞南2000.1.1TheCons仃ucfiveDescriptionofSomeClassesofLeanQuasihereditaryAlgebrasZhouZhongmeiAbstractThenotionofthequasi—hereditaryalgebrahasbeenintroducedbyEcline，BPars

2、hallandLScottinordertostudythehi曲estweightcategoriesarisingintherepresentationtheoryofcomplexsemisimpleLiealgebraandalgebraicgroupIthasbeenprovedthatthesealgebrasappearquitecommon，suchashereditaryalgebras，Schuralgebrasan

3、dAuslanderalgebrasIAgoston，VDlabandELukacsintroducedaclassofquasihereditaryalgebraswi吐ladditionalproperties一一leanquasihereditaryalgebraIntermsoftheSO—calledtopfiltration，theycharacterizedthisclassofthequasihereditaryalge

4、braandgavelowerandupperboundsforthedimensionofleanquasi—hereditaryalgebrasinthesamespeciesTheyprovedthatthedimensionofaleanquasihereditaryalgebraisequaltothelower(upper)boundifandonlyifthealgebraisshallow(replete，respect

5、ively)Werecalledthebasicconceptsandpropertiesofleanquasi—hereditaryalgebrasin1In2firstwerecalltheconceptsoftheleft(fight)medialalgebra，thenwegiveacharacterizationoftheleft(right)medialalgebraThetriviallytwistedextensiona