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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2024, Number 4, Pages 3–14
DOI: https://doi.org/10.26907/0021-3446-2024-4-3-14 (Mi ivm9967) 		 
On decompositions and transitive actions of nilpotent Lie groups

V. V. Gorbatsevich

Moscow, Russia
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DOI: https://doi.org/10.26907/0021-3446-2024-4-3-14
Abstract: The article considers decompositions of nilpotent Lie algebras and nilpotent Lie groups, and connections between them. Also, descriptions of irreducible transitive actions of nilpotent Lie groups on the plane and on three-dimensional space are given.
Keywords: nilpotency, Lie group, Lie algebra, decomposition, exact decomposition.
Received: 03.03.2023
Revised: 03.03.2023
Accepted: 26.09.2023
Document Type: Article
UDC: 512.813
Language: Russian
Citation: V. V. Gorbatsevich, “On decompositions and transitive actions of nilpotent Lie groups”, Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 4, 3–14
Citation in format AMSBIB
\Bibitem{Gor24}
\by V.~V.~Gorbatsevich
\paper On decompositions and transitive actions of nilpotent Lie groups
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2024
\issue 4
\pages 3--14
\mathnet{http://mi.mathnet.ru/ivm9967}
\crossref{https://doi.org/10.26907/0021-3446-2024-4-3-14}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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