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 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | English |
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Інститут математики НАН України
2008
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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 UkraineZusammenfassung: | 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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