Lie Algebroids in the Loday-Pirashvili Category
We describe Lie-Rinehart algebras in the tensor category LM of linear maps in the sense of Loday and Pirashvili and construct a functor from Lie-Rinehart algebras in LM to Leibniz algebroids.
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2015 |
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| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2015
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/147146 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Lie Algebroids in the Loday-Pirashvili Category / A. Rovi // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 24 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-147146 |
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Rovi, A. 2019-02-13T17:28:06Z 2019-02-13T17:28:06Z 2015 Lie Algebroids in the Loday-Pirashvili Category / A. Rovi // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 24 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 17A32; 53D17 DOI:10.3842/SIGMA.2015.079 https://nasplib.isofts.kiev.ua/handle/123456789/147146 We describe Lie-Rinehart algebras in the tensor category LM of linear maps in the sense of Loday and Pirashvili and construct a functor from Lie-Rinehart algebras in LM to Leibniz algebroids. This paper is a contribution to the Special Issue on Poisson Geometry in Mathematics and Physics. The full collection is available at http://www.emis.de/journals/SIGMA/Poisson2014.html. The author wishes to thank Uli Kr¨ahmer for helpful comments and suggestions. It is also a pleasure to thank Stuart White for his time, Jos´e Figueroa O’Farrill for conversations, and the anonymous referees for their comments and suggestions. This research was funded by an EPSRC DTA grant. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Lie Algebroids in the Loday-Pirashvili Category Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Lie Algebroids in the Loday-Pirashvili Category |
| spellingShingle |
Lie Algebroids in the Loday-Pirashvili Category Rovi, A. |
| title_short |
Lie Algebroids in the Loday-Pirashvili Category |
| title_full |
Lie Algebroids in the Loday-Pirashvili Category |
| title_fullStr |
Lie Algebroids in the Loday-Pirashvili Category |
| title_full_unstemmed |
Lie Algebroids in the Loday-Pirashvili Category |
| title_sort |
lie algebroids in the loday-pirashvili category |
| author |
Rovi, A. |
| author_facet |
Rovi, A. |
| publishDate |
2015 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
We describe Lie-Rinehart algebras in the tensor category LM of linear maps in the sense of Loday and Pirashvili and construct a functor from Lie-Rinehart algebras in LM to Leibniz algebroids.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/147146 |
| citation_txt |
Lie Algebroids in the Loday-Pirashvili Category / A. Rovi // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 24 назв. — англ. |
| work_keys_str_mv |
AT rovia liealgebroidsinthelodaypirashvilicategory |
| first_indexed |
2025-12-07T16:46:15Z |
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2025-12-07T16:46:15Z |
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1850868735001231360 |