Schur Duality and Tensor Products

Abstract

The 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.