sl(2)-Trivial Deformations of VectPol(R)-Modules of Symbols

sl(2)-Trivial Deformations of VectPol(R)-Modules of Symbols

We consider the action of VectPol(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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Veröffentlicht in:Symmetry, integrability and geometry, methods and applications integrability and geometry, methods and applications, 2008-01, Vol.4
Hauptverfasser: Ben Ammar, Mabrouk, Boujelbene, Maha
Format: Artikel
Sprache:eng
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Zusammenfassung:We consider the action of VectPol(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
DOI:10.3842/SIGMA.2008.065