Посилання:sl(2)-Trivial Deformations of VectPol(R)-Modules of Symbols / M. Ben Ammar, M. Boujelbene // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 15 назв. — англ.
Підтримка:This paper is a contribution to the Special Issue on Deformation Quantization. We would like to thank Sofiane Bouarroudj for his suggestions and for pointing out a mistake in a previous version of this paper.
We consider the action of VectPol(R) by Lie derivative on the spaces of symbols of differential operators. We study the deformations of this action that become trivial once restricted to sl(2). Necessary and sufficient conditions for integrability of infinitesimal deformations are given.