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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, Number 4, Pages 26–42
DOI: https://doi.org/10.26907/0021-3446-2020-4-26-42 (Mi ivm9559) 		 
Some properties of almost abelian Lie algebras

V. V. Gorbatsevich

Moscow, Russia
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DOI: https://doi.org/10.26907/0021-3446-2020-4-26-42
Abstract: Finite-dimensional Lie algebras, having an abelian ideal of codimension 1, are studied. Some of their properties are proved, including those related to the structure of the space of all Lie algebras. The automorphism groups of such Lie algebras are also calculated.
Keywords: almost abelian Lie algebra, nilpotent Lie algebra, contraction, Jordan matrix.
Received: 17.04.2019
Revised: 12.06.2019
Accepted: 19.06.2019
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, Volume 64, Issue 4, Pages 21–34
DOI: https://doi.org/10.3103/S1066369X20040039
Bibliographic databases:
Document Type: Article
UDC: 512.554
Language: Russian
Citation: V. V. Gorbatsevich, “Some properties of almost abelian Lie algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 4, 26–42; Russian Math. (Iz. VUZ), 64:4 (2020), 21–34
Citation in format AMSBIB
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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