@article{CM_1992__83_1_19_0,
author = {Noumi, Masatoshi and Mimachi, Katsuhisa},
title = {Spherical functions on a family of quantum 3-spheres},
journal = {Compositio Mathematica},
pages = {19--42},
year = {1992},
publisher = {Kluwer Academic Publishers},
volume = {83},
number = {1},
mrnumber = {1168121},
zbl = {0760.33009},
language = {en},
url = {https://www.numdam.org/item/CM_1992__83_1_19_0/}
}
TY - JOUR AU - Noumi, Masatoshi AU - Mimachi, Katsuhisa TI - Spherical functions on a family of quantum 3-spheres JO - Compositio Mathematica PY - 1992 SP - 19 EP - 42 VL - 83 IS - 1 PB - Kluwer Academic Publishers UR - https://www.numdam.org/item/CM_1992__83_1_19_0/ LA - en ID - CM_1992__83_1_19_0 ER -
Noumi, Masatoshi; Mimachi, Katsuhisa. Spherical functions on a family of quantum 3-spheres. Compositio Mathematica, Tome 83 (1992) no. 1, pp. 19-42. https://www.numdam.org/item/CM_1992__83_1_19_0/
[AA0] and : Classical orthogonal polynomials, Lecture note in math. 1171, Springer, 1985, 36-62. | Zbl | MR
[AA1] and : Another q-extension of the beta function, Proc. Amer. Math. Soc. 81, 1981, 97-100. | Zbl | MR
[AW] and : Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials, Mem. Amer. Math. Soc. 319 (1985). | Zbl | MR
[B] : The diamond lemma for ring theory, Adv. in Math. 29, 178-218 (1978). | Zbl | MR
[KR] and : Representations of the algebra U q(sl(2)), q-orthogonal polynomials and invariants of links, in Infinite dimensional Lie algebras and groups, edited by V.G. Kac, World Scientific, 285-339 (1989). | Zbl | MR
[KK] and : The Clebsch-Gordan coefficients for the quantum group Sμ U(2) and q-Hahn polynomials, Nederl. Akad. Wetensch. Proc. Ser A 92, 443-456 (1989). | Zbl
[K] : Representations of the twisted SU(2) quantum group and some q-hypergeometric orthogonal polynomials, Nederl. Akad. Wetensch. Proc. Ser. A 92, 97-117 (1989). | Zbl | MR
[M0] , , , and : Representations of quantum groups and a q-analogue of orthogonal polynomials, C.R. Acad. Sci. Paris, 307, 1988, Série I, 559-564. | Zbl | MR
[M1] , , , and : Representations of the quantum group SU q(2) and the little q-Jacobi polynomials, J. Funct. Anal. 99, 357-386 (1991). | Zbl | MR
[NM0] and : Quantum 2-spheres and big q-Jacobi polynomials, Commun. Math. Phys. 128, 521-531 (1990). | Zbl | MR
[NM1] and : Big q-Jacobi polynomials, q-Hahn polynomials and a family of quantum 3-spheres, Lett. Math. Phys. 19, 299-305 (1990). | Zbl | MR
[S] : Some q-Krawtchouk polynomials on Chevalley groups, Amer. J. Math., 102, 625-662 (1980). | Zbl | MR
[V] : q-Analogues of Clebsch-Gordan coefficients, and the algebra of functions on the quantum group SU(2), Soviet Math. Dokl., 39, 467-470 (1989). | Zbl | MR
[VS] : Algebra of functions on the quantum group SU(2), Functional Anal. Appl. 22, 170-181 (1988). | Zbl | MR






