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Article Dans Une Revue Communications in Mathematical Physics Année : 2002

On Quantization of Quadratic Poisson Structures

Résumé

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. We exhibit in this article an example of quadratic Poisson structure which does not arise this way.

Dates et versions

hal-03045221 , version 1 (07-12-2020)

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Citer

D. Manchon, M. Masmoudi, A. Roux. On Quantization of Quadratic Poisson Structures. Communications in Mathematical Physics, 2002, 225 (1), pp.121-130. ⟨10.1007/s002201000575⟩. ⟨hal-03045221⟩
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