On the simple modules for the restricted Lie superalgebra sl(n|1)sl(n|1)

The simple modules for the restricted Lie superalgebras are considered. In particular, all the simple modules for sl(2|1)sl(2|1) are classified. Also for n>2n>2 and with certain χχ, all simple sl(n|1)sl(n|1)- modules are classified.