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Multi-parameter deformations of the module of symbols of differential operators

F. Ammar·B. Agrebaoui·V. Ovsienko
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Abstract

The space of symbols of differential operators on a smooth manifold (i.e., the space of symmetric contravariant tensor fields) is naturally a module over the Lie algebra of vector fields. We study, in the case of $\bf R^n$ with $n\geq2$, multi-parameter formal deformations of this module. The space of linear differential operators on $\bf R^n$ provides an important class of such formal deformations; we show, however, that the whole space of deformations is much larger.

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BibTeXRIS

F. Ammar, B. Agrebaoui, V. Ovsienko. 2000-11-08. Multi-parameter deformations of the module of symbols of differential operators. https://arxiv.org/abs/math/0011048

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