caa a22 4500 477076807 CHVBK 20180405111440.0 cr unu---uuuuu 170330e19960801xx s 000 0 eng 10.1007/BF00116516 doi (NATIONALLICENCE)springer-10.1007/BF00116516 Dijkhuizen Mathijs Department of Mathematics, Faculty of Science, Kobe University, Rokko, 657, Kobe, Japan aut Some remarks on the construction of quantum symmetric spaces [Elektronische Daten] [Mathijs Dijkhuizen] We present a general survey of some recent developments regarding the construction of compact quantum symmetric spaces and the analysis of their zonal spherical functions in terms of q-orthogonal polynomials. In particular, we define a one-parameter family of two-sided coideals in U q(gι(n, ℂ)) and express the zonal spherical functions on the corresponding quantum projective spaces as Askey-Wilson polynomials containing two continuous and one discrete parameter. Kluwer Academic Publishers, 1996 compact quantum group nationallicence quantum symmetric space nationallicence quantum projective space nationallicence zonal spherical function nationallicence two-sided coideal nationallicence Casimir operator nationallicence radial part nationallicence Askey-Wilson polynomials nationallicence Macdonald's symmetric polynomials nationallicence Koornwinder's BC -type Askey-Wilson polynomials nationallicence Acta Applicandae Mathematica Kluwer Academic Publishers; http://www.wkap.nl 44/1-2(1996-08-01), 59-80 0167-8019 44:1-2<59 1996 44 10440 https://doi.org/10.1007/BF00116516 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00116516 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Dijkhuizen Mathijs Department of Mathematics, Faculty of Science, Kobe University, Rokko, 657, Kobe, Japan aut NATIONALLICENCE 773 0- Acta Applicandae Mathematica Kluwer Academic Publishers; http://www.wkap.nl 44/1-2(1996-08-01), 59-80 0167-8019 44:1-2<59 1996 44 10440 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer