Geodesic
The Liouville equation and exactly transitive representations of algebra $sl_2(\mathbb{R})$
Sibirskij žurnal industrialʹnoj matematiki, Tome 25 (2022) no. 4, pp. 99-106

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It is proved that exactly transitive representations of the algebra $sl_2(\mathbb{R})$ in the space of vector fields $\mathrm{Vect}\, \mathbb{R}^{3}$ are classified by solutions of the equation Liouville. We also obtain a characterization of exactly transitive representations of the algebra $so_3(\mathbb{R})$.
Keywords: algebras $sl_2(\mathbb{R})$, $so_3(\mathbb{R})$, exactly transitive representations
Mots-clés : equation Liouville. . 
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     author = {M. V. Neshchadim},
     title = {The {Liouville} equation and exactly transitive representations of algebra $sl_2(\mathbb{R})$},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
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     publisher = {mathdoc},
     volume = {25},
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     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2022_25_4_a7/}
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M. V. Neshchadim. The Liouville equation and exactly transitive representations of algebra $sl_2(\mathbb{R})$. Sibirskij žurnal industrialʹnoj matematiki, Tome 25 (2022) no. 4, pp. 99-106. http://geodesic.mathdoc.fr/item/SJIM_2022_25_4_a7/