On Lie Algebroids and Poisson Algebras
We introduce and study a class of Lie algebroids associated to faithful modules which is motivated by the notion of cotangent Lie algebroids of Poisson manifolds. We also give a classification of transitive Lie algebroids and describe Poisson algebras by using the notions of algebroid and Lie connec...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2012 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2012
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148369 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On Lie Algebroids and Poisson Algebras / D. García-Beltrán, J.A. Vallejo, Y. Vorobjev // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 24 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862727857312104448 |
|---|---|
| author | García-Beltrán, D. Vallejo, J.A. Vorobjev, Y. |
| author_facet | García-Beltrán, D. Vallejo, J.A. Vorobjev, Y. |
| citation_txt | On Lie Algebroids and Poisson Algebras / D. García-Beltrán, J.A. Vallejo, Y. Vorobjev // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 24 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We introduce and study a class of Lie algebroids associated to faithful modules which is motivated by the notion of cotangent Lie algebroids of Poisson manifolds. We also give a classification of transitive Lie algebroids and describe Poisson algebras by using the notions of algebroid and Lie connections.
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| first_indexed | 2025-12-07T19:05:36Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148369 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T19:05:36Z |
| publishDate | 2012 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | García-Beltrán, D. Vallejo, J.A. Vorobjev, Y. 2019-02-18T11:06:43Z 2019-02-18T11:06:43Z 2012 On Lie Algebroids and Poisson Algebras / D. García-Beltrán, J.A. Vallejo, Y. Vorobjev // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 24 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 53D17; 17B63 DOI: http://dx.doi.org/10.3842/SIGMA.2012.006 https://nasplib.isofts.kiev.ua/handle/123456789/148369 We introduce and study a class of Lie algebroids associated to faithful modules which is motivated by the notion of cotangent Lie algebroids of Poisson manifolds. We also give a classification of transitive Lie algebroids and describe Poisson algebras by using the notions of algebroid and Lie connections. JAV and DGB express their gratitude to the members of the Department of Mathematics of the University of Sonora (where part of this work was done), particularly to R. Flores-Espinoza and G. D´avila-Rasc´on, for their warm hospitality. JAV also thanks the National Council of Science and Technology in Mexico (CONACyT), for the research grant JB2-CB-78791. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On Lie Algebroids and Poisson Algebras Article published earlier |
| spellingShingle | On Lie Algebroids and Poisson Algebras García-Beltrán, D. Vallejo, J.A. Vorobjev, Y. |
| title | On Lie Algebroids and Poisson Algebras |
| title_full | On Lie Algebroids and Poisson Algebras |
| title_fullStr | On Lie Algebroids and Poisson Algebras |
| title_full_unstemmed | On Lie Algebroids and Poisson Algebras |
| title_short | On Lie Algebroids and Poisson Algebras |
| title_sort | on lie algebroids and poisson algebras |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148369 |
| work_keys_str_mv | AT garciabeltrand onliealgebroidsandpoissonalgebras AT vallejoja onliealgebroidsandpoissonalgebras AT vorobjevy onliealgebroidsandpoissonalgebras |