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arXiv · 0902.1543

An explicit formula for the natural and conformally invariant quantization

F. Radoux
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Abstract

In [5], P. Lecomte conjectured the existence of a natural and conformally invariant quantization. In [7], we gave a proof of this theorem thanks to the theory of Cartan connections. In this paper, we give an explicit formula for the natural and conformally invariant quantization of trace-free symbols thanks to the method used in [7] and to tools already used in [8] in the projective setting. This formula is extremely similar to the one giving the natural and projectively invariant quantization in [8].

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F. Radoux. 2009-02-09. An explicit formula for the natural and conformally invariant quantization. https://doi.org/10.1007/s11005-009-0335-2

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