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Leaf-preserving quantizations of PoissonSU(2) are not coalgebra homomorphisms

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Abstract

Although it has been found that some deformation quantizations of the PoissonSU(2) preserve symplectic leaves and some preserve the group (i.e. coalgebra) operation, this paper shows that a quantization ofSU(2) cannot be both leaf-preserving and group-preserving.

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Communicated by A. Connes

Partially supported by NSF-Grant DMS-9002895 and DMS-9303231

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Sheu, A.J.L. Leaf-preserving quantizations of PoissonSU(2) are not coalgebra homomorphisms. Commun.Math. Phys. 172, 287–292 (1995). https://doi.org/10.1007/BF02099429

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  • DOI: https://doi.org/10.1007/BF02099429

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