Diamond cone for sl(m/1)

The diamond cone Sred for a semi simple Lie algebra g is a quotient of the shape algebra S of g. If n is the nilpotent factor of the Iwasawa decomposition of g, we get an indecomposable n-module. If g=sl(m) or sp(2m), particular basis in Sred, were defined, using the notion of quasi standard Young tableaux.In the present paper, we define the diamond cone for the Lie superalgebra sl(m/1), starting with the covariant tensor representations of sl(m/1). The diamond cone is no more indecomposable, but we give basis for each its indecomposable component, using quasi standard Young tableaux for sl(m/1).