Mathematics – Quantum Algebra
Scientific paper
1994-07-25
Mathematics
Quantum Algebra
Scientific paper
Generalised matrix elements of the irreducible representations of the quantum $SU(2)$ group are defined using certain orthonormal bases of the representation space. The generalised matrix elements are relatively infinitesimal invariant with respect to Lie algebra like elements of the quantised universal enveloping algebra of $sl(2)$. A full proof of the theorem announced by Noumi and Mimachi [Proc. Japan Acad. Sci. {\bf 66}, Ser. A (1990), pp. 146--149] describing the generalised matrix elements in terms of the full four-parameter family of Askey-Wilson polynomials is given. Various known and new applications of this interpretation are presented.
No associations
LandOfFree
Askey-Wilson polynomials and the quantum SU(2) group: survey and applications 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 Askey-Wilson polynomials and the quantum SU(2) group: survey and applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Askey-Wilson polynomials and the quantum SU(2) group: survey and applications will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-529071