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Chebyshevskii Sbornik, 2025, Volume 26, Issue 2, Pages 141–159
DOI: https://doi.org/10.22405/2226-8383-2025-26-2-141-159 (Mi cheb1541) 		 
Classification of unsolvable Lie algebras with four-dimensional orbits of coadjoint representation

F. I. Lobzinab

a Moscow Center of Fundamen tal and Applied Mathematics (Moscow)
b Lomonosov Moscow State University (Moscow)
Full-text PDF (653 kB)
DOI: https://doi.org/10.22405/2226-8383-2025-26-2-141-159
Abstract: The paper presents a classification of Lie algebras with four-dimensional coadjoint orbits for Lie algebras that are isomorphic to a semidirect sum of a nontrivial semisimple Lie algebra and a nonzero solvable ideal.
Keywords: Poisson bracket, Lie algebra, coadjoint representation, integrable systems.
Funding agency Grant number
Russian Science Foundation 24-21-00450
Foundation for the Development of Theoretical Physics and Mathematics BASIS
Received: 12.02.2025
Accepted: 07.04.2025
Document Type: Article
UDC: 514.747.2
Language: Russian
Citation: F. I. Lobzin, “Classification of unsolvable Lie algebras with four-dimensional orbits of coadjoint representation”, Chebyshevskii Sb., 26:2 (2025), 141–159
Citation in format AMSBIB
\Bibitem{Lob25}
\by F.~I.~Lobzin
\paper Classification of unsolvable Lie algebras with four-dimensional orbits of coadjoint representation
\jour Chebyshevskii Sb.
\yr 2025
\vol 26
\issue 2
\pages 141--159
\mathnet{http://mi.mathnet.ru/cheb1541}
\crossref{https://doi.org/10.22405/2226-8383-2025-26-2-141-159}
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