Representations and Clebsch-Gordan coefficients for the Jordanian quantum algebra U_h(sl(2))

Details Representations and Clebsch-Gordan coefficients for the Jordanian quantum algebra U_h(sl(2)) Representations and Clebsch-Gordan coefficients for the Jordanian quantum algebra U_h(sl(2))

1997-03-06

arxiv.org/abs/q-alg/9703011v1

Mathematics

Quantum Algebra

LaTeX 2.09, 18 pages, no figures

Scientific paper

10.1088/0305-4470/31/5/017

Representation theory for the Jordanian quantum algebra $U=U_h(sl(2))$ is developed. Closed form expressions are given for the action of the generators of U on the basis vectors of finite dimensional irreducible representations. It is shown how representation theory of U has a close connection to combinatorial identities involving summation formulas. A general formula is obtained for the Clebsch-Gordan coefficients $C^{j_1,j_2,j}_{n_1,n_2,m}(h)$ of U. These Clebsch-Gordan coefficients are shown to coincide with those of su(2) for $n_1+n_2 \leq m$, but for $n_1+n_2 > m$ they are in general a nonzero monomial in $h^{n_1+n_2-m}$.

Affiliated with

Also associated with

No associations

Rating

Representations and Clebsch-Gordan coefficients for the Jordanian quantum algebra U_h(sl(2)) 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 Representations and Clebsch-Gordan coefficients for the Jordanian quantum algebra U_h(sl(2)), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Representations and Clebsch-Gordan coefficients for the Jordanian quantum algebra U_h(sl(2)) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-451711