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

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.

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Bibliographische Detailangaben
Veröffentlicht in:	Symmetry, integrability and geometry, methods and applications integrability and geometry, methods and applications, 2008-09, Vol.4, p.065
Hauptverfasser:	Mabrouk Ben Ammar, Maha Boujelbene
Format:	Artikel
Sprache:	eng
Schlagworte:	cohomology deformations tensor densities
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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