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Symmetry, Integrability and Geometry: Methods and Applications, 2015, Volume 11, 079, 16 pp.
DOI: https://doi.org/10.3842/SIGMA.2015.079 (Mi sigma1060) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Lie Algebroids in the Loday–Pirashvili Category

Ana Roviab

a School of Mathematics and Statistics, Newcastle University, Newcastle upon Tyne NE1 7RU, UK
b School of Mathematics and Statistics, University of Glasgow, University Gardens, Glasgow G12 8QW, UK
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DOI: https://doi.org/10.3842/SIGMA.2015.079
Abstract: We describe Lie–Rinehart algebras in the tensor category $\mathcal{LM}$ of linear maps in the sense of Loday and Pirashvili and construct a functor from Lie–Rinehart algebras in $\mathcal{LM}$ to Leibniz algebroids.
Keywords: Lie algebroid; Leibniz algebra; Courant algebroid; Leibniz algebroid.
Received: February 27, 2015; in final form September 28, 2015; Published online October 2, 2015
Bibliographic databases:
Document Type: Article
MSC: 17A32; 53D17
Language: English
Citation: Ana Rovi, “Lie Algebroids in the Loday–Pirashvili Category”, SIGMA, 11 (2015), 079, 16 pp.
Citation in format AMSBIB
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    		Symmetry, Integrability and Geometry: Methods and Applications
     
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