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

2003/09/25 by B. Abdesselam, Abdesselam, B., R. Chakrabarti +5
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.math/0309414

13 pages

arxiv created 2003/09/25 · arxiv updated 2009/12/01

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 r₂ 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 r₁ matrix comprising of the generators of the classical sl(2) algebra is obtained in terms of a nonlinear basis set.

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