Ana Rovi, “Lie Algebroids in the Loday–Pirashvili Category”, SIGMA, 2015, Volume 11,079, 16 pp.

This article is cited in 2 papers

Lie Algebroids in the Loday–Pirashvili Category

Ana Rovi^ab

^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

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.

MSC: 17A32; 53D17

Received: February 27, 2015; in final form September 28, 2015; Published online October 2, 2015

Language: English

DOI: 10.3842/SIGMA.2015.079