Simple generalized restricted modules for graded Lie algebras of Cartan type

Let %L=X(m:n) (2), X∈{W,S,H,K}% be a simple graded Lie algebra of Cartan type over a field %F% of characteristic p>3. With the aid of Farnsteiner’s generalized reduced Verma module, a connection between the simple GR modules and simple graded modules of L is eastablished.

Let L = X (m:n)(2), Xε |W, S, H, K | be a simple graded Lie algebra of Cartan type over a fieldF of characteristic p> 3. With the aid of Farnsteiner’s generalized reduced Verma module, a connection between the simple GR modules and simple graded modules of L is eastablished.