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 |
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| Datum: | 2008 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2008
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| Online Zugang: | https://nasplib.isofts.kiev.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| _version_ | 1862604485861310464 |
|---|---|
| author | Ben Ammar, M. Boujelbene, M. |
| author_facet | Ben Ammar, M. Boujelbene, M. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-11-28T09:43:10Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149018 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-28T09:43:10Z |
| publishDate | 2008 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Ben Ammar, M. Boujelbene, M. 2019-02-19T13:05:48Z 2019-02-19T13:05:48Z 2008 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. 1815-0659 2000 Mathematics Subject Classification: 17B56; 17B66; 53D55 https://nasplib.isofts.kiev.ua/handle/123456789/149018 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. This paper is a contribution to the Special Issue on Deformation Quantization. We would like to thank Sofiane Bouarroudj for his suggestions and for pointing out a mistake in a previous version of this paper. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications sl(2)-Trivial Deformations of VectPol(R)-Modules of Symbols Article published earlier |
| spellingShingle | sl(2)-Trivial Deformations of VectPol(R)-Modules of Symbols Ben Ammar, M. Boujelbene, M. |
| title | sl(2)-Trivial Deformations of VectPol(R)-Modules of Symbols |
| title_full | sl(2)-Trivial Deformations of VectPol(R)-Modules of Symbols |
| title_fullStr | sl(2)-Trivial Deformations of VectPol(R)-Modules of Symbols |
| title_full_unstemmed | sl(2)-Trivial Deformations of VectPol(R)-Modules of Symbols |
| title_short | sl(2)-Trivial Deformations of VectPol(R)-Modules of Symbols |
| title_sort | sl(2)-trivial deformations of vectpol(r)-modules of symbols |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149018 |
| work_keys_str_mv | AT benammarm sl2trivialdeformationsofvectpolrmodulesofsymbols AT boujelbenem sl2trivialdeformationsofvectpolrmodulesofsymbols |