Abstract

Finite-dimensional irreducible representations of the five-dimensional simple Lie superalgebra osp(2, 1) were first obtained by Corwin, Ne'eman and Sternberg. More recently Hughes has used the method of shift operators to construct the class of infinite-dimensional irreducible star representations. In this paper we find a wider class of representations by inducing from the Lie algebra su(1, 1). A Frobenius reciprocity result is verified.

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