Lie Algebroids in the Loday-Pirashvili Category

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2015
• Main Author: Rovi, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147146
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Lie Algebroids in the Loday-Pirashvili Category / A. Rovi // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 24 назв. — англ.

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.