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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Datum:2008
Hauptverfasser: Ben Ammar, M., Boujelbene, M.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2008
Schriftenreihe:Symmetry, Integrability and Geometry: Methods and Applications
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/149018
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:sl(2)-Trivial Deformations of VectPol(R)-Modules of Symbols / M. Ben Ammar, M. Boujelbene // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 15 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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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.