On representations of the superalgebra osp(2, 1)

N.B. Backhouse

Physica A: Statistical Mechanics and its Applications, 1982, vol. 114, issue 1, 410-412

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.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:114:y:1982:i:1:p:410-412

DOI: 10.1016/0378-4371(82)90321-1

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