Abstract
We show that there is a one-to-one correspondence between the graded representations of osp(1, 2n) and the non-spinorial representations of o(2n+1). The Clebsch-Gordan series for osp(1, 2n) reduce to the corresponding series for o(2n+1) and the properly defined Casimir operators of order at least up to four have the same eigenvalues.
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Communicated by H. Araki
Supported by the Deutsche Forschungsgemeinschaft
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Rittenberg, V., Scheunert, M. A remarkable connection between the representations of the Lie superalgebras osp(1, 2n) and the Lie algebras o(2n+1). Commun.Math. Phys. 83, 1–9 (1982). https://doi.org/10.1007/BF01947067
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DOI: https://doi.org/10.1007/BF01947067