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.

Saved in:
Bibliographic Details
Published in:Symmetry, integrability and geometry, methods and applications integrability and geometry, methods and applications, 2008-09, Vol.4, p.065
Main Authors: Mabrouk Ben Ammar, Maha Boujelbene
Format: Article
Language:English
Subjects:
cohomology
deformations
tensor densities
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
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
1815-0659
DOI:10.3842/SIGMA.2008.065