Quantum sphere S4 as a non-Levi conjugacy class
Abstract
We construct a Uh(sp(4))-equivariant quantization of the four-dimensional complex sphere S4 regarded as a conjugacy class, Sp(4)/Sp(2)x Sp(2), of a simple complex group with non-Levi isotropy subgroup, through an operator realization of the quantum polynomial algebra Ch[S4] on a highest weight module of Uh(sp(4)).
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