Representation functions for Jordanian quantum group SLh(2) and Jacobi polynomials

Authors
Aizawa, N
Citation
N. Aizawa, Representation functions for Jordanian quantum group SLh(2) and Jacobi polynomials, J PHYS A, 33(20), 2000, pp. 3735-3752
Citations number
39
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
33
Issue
20
Year of publication
2000
Pages
3735 - 3752
Database
ISI
SICI code
0305-4470(20000526)33:20<3735:RFFJQG>2.0.ZU;2-#
Abstract
The explicit expressions of the representation functions (D-functions) for Jordanian quantum group SLh(2) are obtained by combination of tensor operat or technique and Drinfeld twist. It is shown that the D-functions can be ex pressed in terms of Jacobi polynomials as the undeformed D-functions can. S ome of the important properties of the D-functions for SLh(2) such as Wigne r's product law, recurrence relations and RTT-type relations are also prese nted.