arXiv subjects

M. Masmoudi

Publications and source records attributed to M. Masmoudi.

2 recordsLinked to original sources

arXiv2001

On quantization of quadratic Poisson structures

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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arXiv2000

Choix des signes pour la formalite de M. Kontsevich

The explicit realization of M. Kontsevich's formality on $R^d$ is the main step of the proof of formality theorem on any manifold. We present here a coherent choice of orientations and signs in order to write completely M. Kontsevich's proof for $R^d$, including all the signs appearing in the formality equation.

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