Some remarks on the construction of quantum symmetric spaces

Abstract

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 $\Uq(\gog\gol(n,\CC))$ and express the zonal spherical functions on the corresponding quantum projective spaces as Askey-Wilson polynomials containing two continuous and one discrete parameter.

References in corpus (2)

• CQG algebras: a direct algebraic approach to compact quantum groups
• Quantum symmetric spaces and related q-orthogonal polynomials