On Ext-transfer for Reductive Lie Algebras

Let G be a connected reductive algebraic group over an algebraically closed field of prime characteristic p and g be the Lie algebra of G. In this paper, we study the representations of g when p-character has standard Levi form. An Ext-transfer from the Ext-groups of induced g-modules to its Levi subalgebras is obtained. Furthermore, we reduce the computation of the multiplicities of simple factors in baby Verma modules over g to its Levi subalgebras.