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Matematicheskie Trudy, 2023, Volume 26, Number 1, Pages 120–129
DOI: https://doi.org/10.33048/mattrudy.2023.26.106 (Mi mt691) 		 
Sharply transitive representations of the algebra $sl_3(\mathbb{R})$

M. V. Neshchadimab, A. A. Simonovb

a Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia
b Novosibirsk State University, Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.33048/mattrudy.2023.26.106
Abstract: We consider local sharply transitive representations of the algebra $sl_3(\mathbb{R})$ in the space of local vector fields with analytic coefficients in $\mathbb{R}^8$ that are defined in a neighborhood of the origin. We find a system of differential equations that describes such representations.
Key words: algebra $sl_3(\mathbb{R})$, local sharply transitive representation.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0009
The study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (no. I.1.5, project FWNF-2022-0009).
Received: 10.05.2023
Revised: 12.06.2023
Accepted: 16.06.2023
English version:
Siberian Advances in Mathematics, 2023, Volume 33, Issue 4, Pages 347–352
DOI: https://doi.org/10.1134/S1055134423040077
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: M. V. Neshchadim, A. A. Simonov, “Sharply transitive representations of the algebra $sl_3(\mathbb{R})$”, Mat. Tr., 26:1 (2023), 120–129; Siberian Adv. Math., 33:4 (2023), 347–352
Citation in format AMSBIB
\Bibitem{NesSim23}
\by M.~V.~Neshchadim, A.~A.~Simonov
\paper Sharply transitive representations of the algebra $sl_3(\mathbb{R})$
\jour Mat. Tr.
\yr 2023
\vol 26
\issue 1
\pages 120--129
\mathnet{http://mi.mathnet.ru/mt691}
\crossref{https://doi.org/10.33048/mattrudy.2023.26.106}
\elib{https://elibrary.ru/item.asp?id=54901442}
\transl
\jour Siberian Adv. Math.
\yr 2023
\vol 33
\issue 4
\pages 347--352
\crossref{https://doi.org/10.1134/S1055134423040077}
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