Classification of finite dimensional modules of the lie superalgebra sl(2/1)

Abstract

In this paper, we not only give a complete classification ofinite dimensional indecomposablemodules of the Lie superalgebra 5/(2/1) with diagonal Cartan subalgebra, but also compely classify those modules with nondiagonal Cartan subalgebra. Thus, by taking all possibe direct sums of such modules, we have effectively classified all the finite dimensional sl(2/\)-modules.