Concepedia

sl(2)-Trivial Deformations of Vect <sub>Pol</sub> (R)-Modules of Symbols

Mabrouk Ben Ammar

Symmetry Integrability and Geometry Methods and Applications · 2008 · 12 citations · 7 references

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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.

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