Quantum sphere S^4 as a non-Levi conjugacy class

Details Quantum sphere S^4 as a non-Levi conjugacy class Quantum sphere S^4 as a non-Levi conjugacy class

2011-10-12

arxiv.org/abs/1110.2619v2

Mathematics

Quantum Algebra

17 pages, no figures

Scientific paper

We construct a U_h(sp(4))-equivariant quantization of the four-dimensional
complex sphere S^4 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 C_h[S^4] on a highest weight
module of U_h(sp(4)).

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