Some remarks on the construction of quantum symmetric spaces

Autor: Dijkhuizen, Mathijs S.
Zdroj: Acta Applicandae Mathematicae; August 1996, Vol. 44 Issue: 1-2 p59-80, 22p
Abstrakt: 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 Uq(g?(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.
Databáze: Supplemental Index