Modules of Differential Operators on the Real Line

H. Gargoubi ; V. Yu. Ovsienko

Funkcionalʹnyj analiz i ego priloženiâ, Tome 35 (2001) no. 1, pp. 16-22.

Résumé

The space $\mathcal{D}^k$ of $k$th-order linear differential operators on $\mathbb{R}$ is equipped with a natural two-parameter family of structures of $\operatorname{Diff}(\mathbb{R})$-modules. To specify this family, one considers the action of differential operators on tensor densities. We give a classification of these modules.

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