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Ovsienko, V.Y. and Duval, C. (1995) Space of Second Order Linear Differential Operators as a Module over the Lie Algebra of Vector Fields. Numdam.
http://www.numdam.org/

has been cited by the following article:

• TITLE: Casimir Operators on the sl2 - Modules of the Linear Differential Operators and the Associated Symbols on the Real Line

  AUTHORS: Aboubacar Nibirantiza, Pascal Ndayisenga

  KEYWORDS: Module Structures, Adjointe Action of Lie Algebra, Schur Lemma, Equivalence of Representations

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.4, April 24, 2025

  ABSTRACT: The research paper investigates the computation of Casimir operators on s l 2 -modules associated with linear differential operators and symbols on the real line. The study considers spaces of differential operators and principal symbols related to tensor densities, and derives explicit formulas for the Casimir operators. It extends previously known results about s l 2 -modules and Schur’s Lemma, enriching the understanding of their role in differential geometry and representation theory.