Geodesic
On stationary subgroups of compact homogeneous spaces
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2019), pp. 36-51

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In this article we study some special properties of stationary subgroups and their Lie algebras for compact homogeneous spaces. We consider the cases of decomposable stationary Lie subalgebras and stationary subalgebras of small dimension. The case of nonreducible transitive actions of Lie groups is considered in detail.
Mots-clés : Lie group
Keywords: homogeneous space, stationary subgroup, nonreducible action. 
@article{IVM_2019_4_a3,
     author = {V. V. Gorbatsevich},
     title = {On stationary subgroups of compact homogeneous spaces},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {36--51},
     publisher = {mathdoc},
     number = {4},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2019_4_a3/}
}
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V. V. Gorbatsevich. On stationary subgroups of compact homogeneous spaces. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2019), pp. 36-51. http://geodesic.mathdoc.fr/item/IVM_2019_4_a3/