Unitary representations of the quantum algebra suq(2) on a real two-dimensional sphere for q ∈ ℝ+ or generic q ∈ S1

Journal of Mathematical Physics

Volumn 40, Issue 6, 1999, Pages 3146-3161

  Irac Astaud, M ^a   Quesne, C ^b  

^a UNIVERSITÉ PARIS DESCARTES   (France)

^b UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033147664     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532751     Document Type: Article

References (12)

1. H. Exton, q-Hypergeometric Functions and Applications (Ellis Horwood, New York, 1983).
2. G. E. Andrews, q-Series: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics, and Computer Algebra (American Mathematical Society, Providence, RI, 1986).
3. G. Gasper and M. Rahman, Basic Hypergeometric Series (Cambridge U.P., Cambridge, 1990).
4. V. Chari and A. Pressley, A Guide to Quantum Groups (Cambridge U.P., Cambridge, 1994).
5. N. Ja. Vilenkin and A. U. Klimyk, Representation of Lie Groups and Special Functions (Kluwer, Dordrecht, 1991), 3 volumes.
6. G. Rideau and P. Winternitz, J. Math. Phys. 34, 6030 (1993).
7. N. Ja. Vilenkin, Special Functions and the Theory of Group Representations (American Mathematical Society, Providence, RI, 1968).
8. MN(cos θ), defined in Ref. 5, Vol. 1, p. 85, differ by a phase factor from those considered in Refs. 6 and 7.
9. J. R. Schmidt, J. Math. Phys. 37, 3062 (1996).
10. M. Irac-Astaud, Lett. Math. Phys. 36, 169 (1996); Czech. J. Phys. 46, 179 (1996).
11. M. Irac-Astaud, Lett. Math. Phys. 36, 169 (1996); Czech. J. Phys. 46, 179 (1996).
12. M. Irac-Astaud and C. Quesne, unpublished.