程舜仁Cheng, Shun-Jen臺灣大學:數學研究所林濬璈Lin, Jyun-AoJyun-AoLin2010-05-052018-06-282010-05-052018-06-282009U0001-2007200915524600http://ntur.lib.ntu.edu.tw//handle/246246/180641我們研讀了有限維一般線性李超代數的BGG模範疇中具有典型中心特徵的子範疇，並証明此範疇與其相對應的李代數範疇等價。We study the subcategory of the BGG category O of modules over the finite dimensional general linear superalgebragl(m|n)$ corresponding to a typical central character. We show that such a category is equivalent to a corresponding subcategory of modules over $gl(m)oplus gl(n)$.口試委員會審定書…………………………………………………………..…… i謝…………………………………………………………………………..……. ii文摘要………………………………………………………………………..… iii文摘要……………………………………………………………………….…. iv一章 Introduction…………………………………………………………...….. 1二章 Translation Functors…………………………………………………. 1三章 Representation Theory of gl(m|n)……………………………………..…. 21四章 An Equivalence of Categories…………………………………………... 24考文獻…………………………………………………………………….…… 29application/pdf414637 bytesapplication/pdfen-US李代數李超代數表現理論Lie algebrasLie SuperalgebrasRepresentation theoryKazhdan-Lusztig polynomialsthesishttp://ntur.lib.ntu.edu.tw/bitstream/246246/180641/1/ntu-98-R95221017-1.pdf