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Symmetry, Integrability and Geometry: Methods and Applications, 2008, Volume 4, 065, 19 pp.
DOI: https://doi.org/10.3842/SIGMA.2008.065 (Mi sigma318) 		 
This article is cited in 21 scientific papers (total in 21 papers)

$\mathfrak{sl}(2)$-Trivial Deformations of $\operatorname{Vect}_{\mathrm{Pol}}(\mathbb R)$-Modules of Symbols

Mabrouk Ben Ammar, Maha Boujelbene

Département de Mathématiques, Faculté des Sciences de Sfax, BP 802, 3038 Sfax, Tunisie
Full-text PDF (299 kB) Citations (21)
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DOI: https://doi.org/10.3842/SIGMA.2008.065
Abstract: We consider the action of $\operatorname{Vect}_{\mathrm{Pol}}(\mathbb R)$ by Lie derivative on the spaces of symbols of differential operators. We study the deformations of this action that become trivial once restricted to $\mathfrak{sl}(2)$. Necessary and sufficient conditions for integrability of infinitesimal deformations are given.
Keywords: tensor densities, cohomology, deformations.
Received: January 14, 2008; in final form September 5, 2008; Published online September 18, 2008
Bibliographic databases:
Document Type: Article
MSC: 17B56; 17B66; 53D55
Language: English
Citation: Mabrouk Ben Ammar, Maha Boujelbene, “$\mathfrak{sl}(2)$-Trivial Deformations of $\operatorname{Vect}_{\mathrm{Pol}}(\mathbb R)$-Modules of Symbols”, SIGMA, 4 (2008), 065, 19 pp.
Citation in format AMSBIB
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\paper $\mathfrak{sl}(2)$-Trivial Deformations of $\operatorname{Vect}_{\mathrm{Pol}}(\mathbb R)$-Modules of Symbols
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\vol 4
\papernumber 065
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    • This publication is cited in the following 21 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
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