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Quantisation of U$_q$[OSP(1/2N)] with Deformed Para-Bose Operators

T. D. Palev
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Abstract

The observation that $n$ pairs of para-Bose (pB) operators generate the universal enveloping algebra of the orthosymplectic Lie superalgebra $osp(1/2n)$ is used in order to define deformed pB operators. It is shown that these operators are an alternative to the Chevalley generators. On this background $U_q[osp(1/2n)]$, its "Cartan-Weyl" generators and their "supercommutation" relations are written down entirely in terms of deformed pB operators. An analog of the Poincare- Birkhoff-Witt theorem is formulated.

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T. D. Palev. 1993-06-03. Quantisation of U$_q$[OSP(1/2N)] with Deformed Para-Bose Operators. https://arxiv.org/abs/hep-th/9306016

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