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This article is cited in 1 scientific paper (total in 1 paper)
On maximal extensions of nilpotent Lie algebras
V. V. Gorbatsevich
Abstract:
Extensions of finite-dimensional nilpotent Lie algebras, in particular, solvable extensions, are considered.
Some properties of maximal extensions are proved. A counterexample to L. Šnobl's conjecture concerning
the uniqueness of maximal solvable extensions is constructed.
Keywords:
nilpotent Lie algebra, solvable Lie algebra, extension, splitting.
Received: 05.04.2022 Revised: 08.09.2022 Accepted: 12.09.2022
Citation:
V. V. Gorbatsevich, “On maximal extensions of nilpotent Lie algebras”, Funktsional. Anal. i Prilozhen., 56:4 (2022), 25–34; Funct. Anal. Appl., 56:4 (2022), 257–263
Linking options:
https://www.mathnet.ru/eng/faa4005https://doi.org/10.4213/faa4005 https://www.mathnet.ru/eng/faa/v56/i4/p25
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