上三角陣?yán)畲鷶?shù)t(n，F(xiàn))的結(jié)構(gòu).pdf

1、東北師范大學(xué)碩士學(xué)位論文上三角陣?yán)畲鷶?shù)t（n，F(xiàn)）的結(jié)構(gòu)姓名：賀維娜申請學(xué)位級別：碩士專業(yè)：基礎(chǔ)數(shù)學(xué)指導(dǎo)教師：張永正20090501AbstraetLetFbeafieldofnumbersThesett(n，F(xiàn))consistingofalluppertriangularmatrixesofordernoverF，isasubalgebraofgenerallinearLieAlgebragl(n，F(xiàn))Tllisarticlefocu

2、sesonthestudyoft(n，F(xiàn))IIlⅡlefirstsection，wediscusstheidealoft(n，F(xiàn))，nilpotentradicalandradicalInthesecondsection，wediSCUSStheCaftansub—algebra，killingform，structuralformulaandsomepropertiesoft(n，F(xiàn))Whenwedotheresearchofthei

3、deal，wedeterminetwospecialformsoftheidealatfirst；andthen，throughthetwoformsoftheideal，weintersectandsumtogetmoreidealsWeusetheblockmatrixtosimplifythecalculationonthestudyofnilpotentradical，whichprovidealotofs虹Utoproveth