Abstract
First, it is shown that the superalgebra embedding of osp(1‖2) in sl(1‖2) allows to characterize the irreducible representation states of sl(1‖2) without any missing label. Through this embedding the general nonpositive definite scalar product in the osp(1‖2) representation space can be generalized to the sl(1‖2) representation space. Then grade star representations of sl(1‖2) are derived by considering this nonpositive scalar product.
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