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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2015 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2015
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| Online Zugang: | 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 |
| Zitieren: | Lie Algebroids in the Loday-Pirashvili Category / A. Rovi // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 24 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862702681468960768 |
|---|---|
| author | Rovi, A. |
| author_facet | Rovi, A. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-12-07T16:46:15Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147146 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T16:46:15Z |
| publishDate | 2015 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Lie Algebroids in the Loday-Pirashvili Category Rovi, A. |
| title | 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_short | Lie Algebroids in the Loday-Pirashvili Category |
| title_sort | lie algebroids in the loday-pirashvili category |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147146 |
| work_keys_str_mv | AT rovia liealgebroidsinthelodaypirashvilicategory |