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math.DG2009
Geometric structures encoded in the Lie structure of an Atiyah algebroid
Janusz Grabowski, Alexei Kotov, Norbert Poncin
We investigate Atiyah algebroids, i.e. the infinitesimal objects of principal bundles, from the viewpoint of Lie algebraic approach to space. First we show that if the Lie algebras…
math.RA2009
Lie algebaic characterization of supercommutative space
Janusz Grabowski, Alexei Kotov, Norbert Poncin
During the last decades algebraization of space turned out to be a promising tool at the interface between Mathematics and Theoretical Physics. Starting with works by Gel'fand-Kolm…