局部環(huán)上A-,n-,D-,n-,E-,6-型Chevalley代數(shù)的由正根基向量生成的冪零子代數(shù)的自同構(gòu).pdf

1、湘潭大學(xué)碩士學(xué)位論文局部環(huán)上ADE型Chevalley代數(shù)的由正根基向量生成的冪零子代數(shù)的自同構(gòu)姓名：蔣德志申請學(xué)位級別：碩士專業(yè)：基礎(chǔ)數(shù)學(xué)指導(dǎo)教師：曹佑安20040401AbstractLetRbealocalringLetNbethenilpotentsubalgebrageneratedbypositiverootvectorsofchevalleyalgebraoftypeA。(n≥3)，D。(n≥4)，E6overRInthi

2、spaperwediscusstheautomorphismgroupofNWeprovethatanyautomorphism【pofNCallbeexpressedasIp=g，‘v‘dxt‘杠i，whereg口。v，dY，，恥andiaregraph，exceptional，diagonal，extremal，centralandinnerautomorphisms，respectivelyofⅣ’andthatifAnn(2)=

3、0，theautomorphismgroupAut(Ⅳ)=伍K(DK((匠笆)K3))’where西，D，鬯。《and3arethegraph，diagonal，ex—tremal，centralandinnerautomorphismgroups，respectively，ofNwealsodiscusstheautomorphismgroupofNgeneratedbypositiverootvectorsofchevalleyal