Conjectures on the representations of modular Lie algebras

Abstract: We have already seen simple representations of modular Lie algebras of $A_l$-type and $C_l$-type. We shall further investigate simple representations of $B_l$ type, which turn out to be very similar in methodology as those types except for roots. So we may consider some conjectures relating to the representations of classical type modular Lie algebras.