On quantization of quadratic Poisson structures

Details On quantization of quadratic Poisson structures On quantization of quadratic Poisson structures

2001-05-09

arxiv.org/abs/math/0105068v2

Mathematics

Quantum Algebra

Submitted to Comm. Math. Phys. Version 2 : error in introduction corrected

Scientific paper

10.1007/s002201000575

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.

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