English

Non-uniqueness of the natural and projectively equivariant quantization

Differential Geometry 2007-05-23 v1

Abstract

In [3], the authors showed the existence and the uniqueness of a sl(m+1,\R)-equivariant quantization in the non-critical situations. The curved generalization of the sl(m+1,\R)-equivariant quantization is the natural and projectively equivariant quantization. In [1] and [7], the existence of such a quantization was proved in two different ways. In this paper, we show that this quantization is not unique.

Keywords

Cite

@article{arxiv.math/0606549,
  title  = {Non-uniqueness of the natural and projectively equivariant quantization},
  author = {Fabian Radoux},
  journal= {arXiv preprint arXiv:math/0606549},
  year   = {2007}
}

Comments

7 pages

R2 v1 2026-07-22T17:37:48.695Z