@article{CM_1994__93_2_113_0,
author = {Baldoni, Welleda and M\"oseneder Frajria, Pierluigi},
title = {Spherical functions on a complex classical quantum group},
journal = {Compositio Mathematica},
pages = {113--128},
year = {1994},
publisher = {Kluwer Academic Publishers},
volume = {93},
number = {2},
mrnumber = {1287692},
zbl = {0814.17015},
language = {en},
url = {https://www.numdam.org/item/CM_1994__93_2_113_0/}
}
TY - JOUR AU - Baldoni, Welleda AU - Möseneder Frajria, Pierluigi TI - Spherical functions on a complex classical quantum group JO - Compositio Mathematica PY - 1994 SP - 113 EP - 128 VL - 93 IS - 2 PB - Kluwer Academic Publishers UR - https://www.numdam.org/item/CM_1994__93_2_113_0/ LA - en ID - CM_1994__93_2_113_0 ER -
Baldoni, Welleda; Möseneder Frajria, Pierluigi. Spherical functions on a complex classical quantum group. Compositio Mathematica, Tome 93 (1994) no. 2, pp. 113-128. https://www.numdam.org/item/CM_1994__93_2_113_0/
1 and , Spherical functions on SLq (2, C), (to appear).
2 , Quantum groups, Proceedings of the International Congress of Mathematicians, Berkeley, 1986, pp. 798-820. | Zbl | MR
3 , Sur la classification des idéaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie semi-simple, Ann. of Math. 105 (1977), 107-120. | Zbl | MR
4 , Lectures on Hypergeometric and Spherical Functions, Notes of the Lectures given at the European School of Group Theory, Marseille, July 1991.
5 , A class of symmetric polynomials with a parameter, R.S. Edinburgh 69A (1970), 1-18. | Zbl | MR
6 , A q-difference analog of U(g) and the Yang-Baxter equation, Lett. Math. Phys. 10 (1985), 63-69. | Zbl | MR
7 , On Crystal bases of the q-analogue of universal enveloping algebras., Duke Math. J. 63 (1991), 465-515. | Zbl | MR
8 , Continuous q-Legendre polynomials as spherical matrix elements of irreducible representations of the quantum SU(2) group, C.W.I. Quarterly 2 (1989), 171-173. | Zbl
9 , Quantum deformation of certain simple modules over enveloping algebras, Advances in Math. 70 (1988), 237-249. | Zbl | MR
10 , Commuting differential operators and zonal spherical functions, Lecture Notes in Mathematics 1271 (A. M. Cohen, W. H. Hesselink, W. L. J. van der Kalen, and J. R. Strooker, eds.), Springer-Verlag, Berlin- Heidelberg, New York, 1987, pp. 189-200. | Zbl | MR
11 -, Orthogonal polynomials associated with root systems, preprint.
12 -, Symmetric Functions and Hall Polynomials, 2nd edition (to appear).
13 and , Roger's q-ultraspherical polynomials on a quantum 2-sphere, Duke Math. J. 63 (1991), 65-80. | Zbl | MR
14 , Complex quantum groups and their real representations, Publ. RIMS 28 (1992), 709-745. | Zbl | MR
15 , , and , Quantization of Lie groups and Lie algebras, Leningrad Math. J 1 (1990), 193-225. | Zbl | MR
16 , Third memoir on the expansion of certain infinite products, Proc. London Math. Soc. 25 (1895), 15-32. | JFM
17 , Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra, Comm. Math. Phys. 117 (1988), 581-593. | Zbl | MR
18 -, Algèbres enveloppantes quantifiées, groupes quantiques compacts de matrices et calcul différentiel non commutatif, Duke Math. J. 61 (1990), 11-40. | Zbl
19 , An algebra of functions on a compact quantum groups, Leningrade Math. J. 2 (1991), 161-178. | Zbl | MR
20 , Compact matrix pseudogroups, Comm. Math. Phys. 111 (1987), 613-665. | Zbl | MR






