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 |
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| container_title | Symmetry, integrability and geometry, methods and applications |
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| creator | Ben Ammar, Mabrouk Boujelbene, Maha |
| description | 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. |
| doi_str_mv | 10.3842/SIGMA.2008.065 |
| format | Article |
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| identifier | EISSN: 1815-0659 |
| ispartof | Symmetry, integrability and geometry, methods and applications, 2008-01, Vol.4 |
| issn | 1815-0659 |
| language | eng |
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| source | Math-Net.Ru (free access); DOAJ Directory of Open Access Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| title | sl(2)-Trivial Deformations of VectPol(R)-Modules of Symbols |
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