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

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

2003-09-25

arxiv.org/abs/math/0309414v1

Mathematics

Quantum Algebra

13 pages

Scientific paper

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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