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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2012 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2012
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/148369 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-148369 |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On Lie Algebroids and Poisson Algebras |
| spellingShingle |
On Lie Algebroids and Poisson Algebras García-Beltrán, D. Vallejo, J.A. Vorobjev, Y. |
| title_short |
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_sort |
on lie algebroids and poisson algebras |
| author |
García-Beltrán, D. Vallejo, J.A. Vorobjev, Y. |
| author_facet |
García-Beltrán, D. Vallejo, J.A. Vorobjev, Y. |
| publishDate |
2012 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/148369 |
| 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. |
| work_keys_str_mv |
AT garciabeltrand onliealgebroidsandpoissonalgebras AT vallejoja onliealgebroidsandpoissonalgebras AT vorobjevy onliealgebroidsandpoissonalgebras |
| first_indexed |
2025-12-07T19:05:36Z |
| last_indexed |
2025-12-07T19:05:36Z |
| _version_ |
1850877502127341568 |