On quantization of quadratic Poisson structures
量子代数
2009-11-07 v2 微分几何
摘要
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.
引用
@article{arxiv.math/0105068,
title = {On quantization of quadratic Poisson structures},
author = {D. Manchon and M. Masmoudi and A. Roux},
journal= {arXiv preprint arXiv:math/0105068},
year = {2009}
}
备注
Submitted to Comm. Math. Phys. Version 2 : error in introduction corrected