Abstract:
Any classical r-matrix on the Lie algebra of linear operators on a real vector space V gives rise to a quadratic Poisson structure on V which admits a deformation quantization stemming from the construction of V. Drinfel'd [Dr], [Gr]. We exhibit in this article an example of quadratic Poisson structure which does not arise this way.
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Received: 31 May 2001 / Accepted: 17 August 2001
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Manchon, D., Masmoudi, M. & Roux, A. On Quantization of Quadratic Poisson Structures. Commun. Math. Phys. 225, 121–130 (2002). https://doi.org/10.1007/s002201000575
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DOI: https://doi.org/10.1007/s002201000575