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

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

2006-07-22

arxiv.org/abs/math/0607566v3

J. Math. Phys. 47 (2006) 123511

Mathematics

Quantum Algebra

21pages, no figure; final form for publication

Scientific paper

10.1063/1.2399360

We 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.

Affiliated with

Also associated with

No associations

Rating

Universal T-matrix, Representations of OSp_q(1/2) and Little Q-Jacobi Polynomials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Universal T-matrix, Representations of OSp_q(1/2) and Little Q-Jacobi Polynomials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Universal T-matrix, Representations of OSp_q(1/2) and Little Q-Jacobi Polynomials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-301464