雙積Hopf代數(shù)上的余擬三角結(jié)構(gòu).pdf

1、f1106307單位代碼10476學(xué)號0401180005分類號01533獗戔奄專籀大薄碩士學(xué)位論文雙積Hopf代數(shù)上的余擬三角結(jié)構(gòu)學(xué)科、專業(yè)研究方向申請學(xué)位類別申請人指導(dǎo)教師：基礎(chǔ)數(shù)學(xué)：代數(shù)學(xué)：理學(xué)碩士：馬天水：趙文正教授二oo七年四月AbstractThisdissertationisorganizedasfollows：Inchapterone，werecallthebackgroundofHopfalgebrasandprese

2、ntSomebasicpropertiesa8wellasfactsaboutHopfalgebraswhicharerelatedtothefollowingcontentsdoselyInaddition，weintroducehowthequestioninvestigatedinthisdissertationisproducedInchaptertwo，firstly，throughtheuseofspecialelement

3、sr、盯l、啦如，wedefinesolneconceptionsusedinthisdissertationsuchascompatiblepairassociatedto(7，口1)，skewcompatiblepairassociatedto(r，cr2)，weakcoquasitriangularpaira880ciatedto(r，O“1，啦)Secondly，wegivetheeoquasitriangularstructu

4、resoverbiproductFinally’weobtainthenecessaryandsufficientconditionsforsuchthatbiproductbecomesacoquasitriangularHopfalgebraInchapterthree，wegiveaconcreteexampleKeywords：Hopfalgebra，CoquasitriangularHopfalgebra，Biproduct1