Modular Representations Of Lie Super Algebra Gl(m|n)

In this thesis,we will study modular representations of general linear Lie super algebras over algebraically closed fields.The irreducible restricted modules for such Lie super algebras are classified up to module isomorphisms.We are able to give a sufficient and necssary condition under which one can judge conveniently when a Kac-module is irreducible. The relations between GL(m|n)-super modules and gl(m|n)-super modules and Z-filtration of restricted modules are also discussed.