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

Mabrouk Ben Ammar
2008 Symmetry, Integrability and Geometry: Methods and Applications  
We consider the action of Vect_{Pol}(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.
doi:10.3842/sigma.2008.065 fatcat:4h2t5dtoxbejbpr5pfqujpcwvi