程舜仁臺灣大學：數學研究所Peng, Yung-NingYung-NingPeng2007-11-282018-06-282007-11-282018-06-282005http://ntur.lib.ntu.edu.tw//handle/246246/59476The aim of this thesis is to give a simple proof of the Schur duality without using the usual double centralizing argument. In fact similar argument along this line can be used to prove Schur duality for the general linear Lie superalgebra as well. We use some facts about the representation theory of the symmetric groups and Lie algebras, what I majored in the graduate course are almost involved in them.1.Introduction P.2 2.Definitions and notations P.4 3.As a gl(n)-module P.8 4.As an Sk-module P.10 5.Symmetric functions and characters P.12 6.Schur duality for the general linear Lie superalgebra P.15680378 bytesapplication/pdfen-US對偶性dualitythesishttp://ntur.lib.ntu.edu.tw/bitstream/246246/59476/1/ntu-94-R91221012-1.pdf