sl(2)-Trivial Deformations of Vect_{Pol}(R)-Modules of Symbols

Abstract

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.

Keywords

• tensor densities
• cohomology
• deformations