Geodesic
Extension of transitive actions of Lie groups
Izvestiya. Mathematics , Tome 81 (2017) no. 6, pp. 1143-1154

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We give an algebraic construction of extensions of arbitrary transitive actions of soluble Lie groups on compact manifolds. The question of the possible dimensions of such extensions is studied in detail. We also consider some generalizations of this construction and the question of constructing extended transitive Lie group actions in some particular cases.
Keywords: homogeneous space, solvmanifold, nilmanifold, lattice.
Mots-clés : soluble Lie group 
@article{IM2_2017_81_6_a4,
     author = {V. V. Gorbatsevich},
     title = {Extension of transitive actions of {Lie} groups},
     journal = {Izvestiya. Mathematics },
     pages = {1143--1154},
     publisher = {mathdoc},
     volume = {81},
     number = {6},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2017_81_6_a4/}
}
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V. V. Gorbatsevich. Extension of transitive actions of Lie groups. Izvestiya. Mathematics , Tome 81 (2017) no. 6, pp. 1143-1154. http://geodesic.mathdoc.fr/item/IM2_2017_81_6_a4/