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On Nonstandard Quantizations of osp(2|1) Superalgebra via Contraction and Mapping

B. Abdesselam·R. Chakrabarti·A. Hazzab·A. Yanallah
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Abstract

We develop a generic reprersentation-independent contraction procedure for obtaining, for instance, $R_{\sf h}$ and $L$ operators of arbitrary dimensions for the quantized ${\cal U}_{\sf h}(osp(2|1))$ algebra corresponding to the classical $r_2$ matrix from the pertinent quantities of the standard q-deformed ${\cal U}_q(osp(2|1))$ algebra. Also the quantized ${\bf U_h}(osp(2|1))$ algebra corresponding to the classical $r_1$ matrix comprising of the generators of the classical $sl(2)$ algebra is obtained in terms of a nonlinear basis set.

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B. Abdesselam, R. Chakrabarti, A. Hazzab, A. Yanallah. 2003-09-25. On Nonstandard Quantizations of osp(2|1) Superalgebra via Contraction and Mapping. https://arxiv.org/abs/math/0309414

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