ON REPRESENTATIONS OF RESTRICTED LIE SUPERALGEBRAS

Simple modules for restricted Lie superalgebras are studied. The indecomposability of baby Kac modules and baby Verma modules is proved in some situation. In particular, for the classical Lie superalgebra of type A(n vertical bar 0), the baby Verma modules Z(chi)(lambda) are proved to be simple for any regular nilpotent p-character chi and typical weight lambda. Moreover, we obtain the dimension formulas for projective covers of simple modules with p-characters of standard Levi form.