sl(2)-Trivial Deformations of VectPol(R)-Modules of Symbols

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2008
• Main Authors: Ben Ammar, M., Boujelbene, M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149018
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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.