Some remarks on the construction of quantum symmetric spaces

Details Some remarks on the construction of quantum symmetric spaces Some remarks on the construction of quantum symmetric spaces

1995-12-21

arxiv.org/abs/math/9512225v1

Mathematics

Quantum Algebra

Scientific paper

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.

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