# Publications by Year: 2018

Integrable lifts for transitive Lie algebroids. Internat. J. Math. [Internet]. 2018;29(9):26 pp. Publisher's VersionAbstract paper_30may2018.pdf

. 2018

Androulidakis I, Antonini P. Integrable lifts for transitive Lie algebroids. Internat. J. Math. [Internet]. 2018;29(9):26 pp. Publisher's VersionAbstract

Inspired by the work of Molino, we show that the integrability obstruction for transitive Lie algebroids can be made to vanish by adding extra dimensions. In particular, we prove that the Weinstein groupoid of a non-integrable transitive and abelian Lie algebroid is the quotient of a finite-dimensional Lie groupoid. Two constructions as such are given: First, explaining the counterexample to integrability given by Almeida and Molino, we see that it can be generalized to the construction of an “Almeida–Molino” integrable lift when the base manifold is simply connected. On the other hand, we notice that the classical de Rham isomorphism provides a universal integrable algebroid. Using it we construct a “de Rham” integrable lift for any given transitive Abelian Lie algebroid.

paper_30may2018.pdfNational and Kapodistrian University of Athens,

Department of Mathematics

(+30) 210-7276423

Panepistimiopolis Zografou

Athens, ZipCode 157-84

iandroul@math.uoa.gr