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
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spelling doaj-6c44588d2a8e47f08591e6c8416c43402020-11-24T23:36:38ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592008-09-014065sl(2)-Trivial Deformations of Vect_{Pol}(R)-Modules of Symbols Mabrouk Ben AmmarMaha BoujelbeneWe 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. http://dx.doi.org/10.3842/SIGMA.2008.065tensor densitiescohomologydeformations
collection DOAJ
language English
format Article
sources DOAJ
author Mabrouk Ben Ammar
Maha Boujelbene
spellingShingle Mabrouk Ben Ammar
Maha Boujelbene
sl(2)-Trivial Deformations of Vect_{Pol}(R)-Modules of Symbols
Symmetry, Integrability and Geometry: Methods and Applications
tensor densities
cohomology
deformations
author_facet Mabrouk Ben Ammar
Maha Boujelbene
author_sort Mabrouk Ben Ammar
title sl(2)-Trivial Deformations of Vect_{Pol}(R)-Modules of Symbols
title_short sl(2)-Trivial Deformations of Vect_{Pol}(R)-Modules of Symbols
title_full sl(2)-Trivial Deformations of Vect_{Pol}(R)-Modules of Symbols
title_fullStr sl(2)-Trivial Deformations of Vect_{Pol}(R)-Modules of Symbols
title_full_unstemmed sl(2)-Trivial Deformations of Vect_{Pol}(R)-Modules of Symbols
title_sort sl(2)-trivial deformations of vect_{pol}(r)-modules of symbols
publisher National Academy of Science of Ukraine
series Symmetry, Integrability and Geometry: Methods and Applications
issn 1815-0659
publishDate 2008-09-01
description 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.
topic tensor densities
cohomology
deformations
url http://dx.doi.org/10.3842/SIGMA.2008.065
work_keys_str_mv AT mabroukbenammar sl2trivialdeformationsofvectpolrmodulesofsymbols
AT mahaboujelbene sl2trivialdeformationsofvectpolrmodulesofsymbols
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