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

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

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.

Bibliographic Details
Main Authors: Mabrouk Ben Ammar, Maha Boujelbene
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2008-09-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
tensor densities
cohomology
deformations
Online Access:http://dx.doi.org/10.3842/SIGMA.2008.065
Description
Summary: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.
ISSN:1815-0659

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