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

Conjectures on the representations of modular Lie algebras