Место издания:Vietnam Institute for Advanced Study in Mathematics Hanoi
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Последняя страница:9
Аннотация:The preprint is prepared as description of results that were obtained
during joint scientific project No: 71NC /2015/VNCCCT on the VIASM
(Vietnam Institute for Advanced Study in Mathematics) from 08.12.2015
to 06.02.2016.
The problem was formulated how to calculate so called the Mackenzie
obstruction for existing of transitive Lie algebroid for given coupling between a finite dimensional Lie algebra and the tangent bundle of a smooth
manifold.
It is proved that the Mackenzie obstruction for transitive Lie algebroids
is trivial for the finite dimensional Lie algebra which is the direct sum of
the center and the subalgebra without the center.