Universal T-matrix, Representations of OSp_q(1/2) and Little Q-Jacobi Polynomials

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dc.creatorAizawa, N.
dc.creatorChakrabarti, R.
dc.creatorMohammed, S. S. Naina
dc.creatorSegar, J.
dc.date2006-07-22
dc.date2006-12-28
dc.date.accessioned2026-07-07T07:37:20Z
dc.date.available2026-07-07T07:37:20Z
dc.descriptionWe obtain a closed form expression of the universal T-matrix encapsulating the duality of the quantum superalgebra U_q[osp(1/2)] and the corresponding supergroup OSp_q(1/2). The classical q-->1 limit of this universal T-matrix yields the group element of the undeformed OSp(1/2) supergroup. The finite dimensional representations of the quantum supergroup OSp_q(1/2) are readily constructed employing the said universal T-matrix and the known finite dimensional representations of the dually related deformed U_q[osp(1/2)] superalgebra. Proceeding further, we derive the product law, the recurrence relations and the orthogonality of the representations of the quantum supergroup OSp_q(1/2). It is shown that the entries of these representation matrices are expressed in terms of the little Q-Jacobi polynomials with Q = -q. Two mutually complementary singular maps of the universal T-matrix on the universal R-matrix are also presented.
dc.description21pages, no figure; final form for publication
dc.identifierhttps://arxiv.org/abs/math/0607566
dc.identifierhttp://arxiv.org/abs/math/0607566
dc.identifierJ. Math. Phys. 47 (2006) 123511
dc.identifierdoi:10.1063/1.2399360
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120743
dc.subjectQuantum Algebra
dc.subject20G42; 81R50
dc.titleUniversal T-matrix, Representations of OSp_q(1/2) and Little Q-Jacobi Polynomials
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