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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 4, Pages 36–51
DOI: https://doi.org/10.26907/0021-3446-2019-4-36-51 (Mi ivm9453) 		 
On stationary subgroups of compact homogeneous spaces

V. V. Gorbatsevich

Moscow, Russia
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DOI: https://doi.org/10.26907/0021-3446-2019-4-36-51
Abstract: 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.
Keywords: Lie group, homogeneous space, stationary subgroup, nonreducible action.
Received: 19.02.2018
Revised: 04.06.2018
Accepted: 20.06.2018
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 4, Pages 31–43
DOI: https://doi.org/10.3103/S1066369X19040042
Bibliographic databases:
Document Type: Article
UDC: 512.816
Language: Russian
Citation: V. V. Gorbatsevich, “On stationary subgroups of compact homogeneous spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 4, 36–51; Russian Math. (Iz. VUZ), 63:4 (2019), 31–43
Citation in format AMSBIB
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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