The Liouville Equation and Sharply Transitive Representations of the Algebra $$ sl_2(\mathbb {R}) $$ Full article
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Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 , E-ISSN: 1990-4797 |
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| Output data | Year: 2022, Volume: 16, Number: 4, Pages: 706-712 Pages count : 7 DOI: 10.1134/s1990478922040111 | ||
| Tags | algebras sl2(R) and so3(R), sharply transitive representation, Liouville equation | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0009 |
Abstract:
We prove that sharply transitive representations of the algebra sl2(R) in the space VectR3 of vector fields are classified by solutions of the Liouville equation. We also obtain a characterization of sharply transitive representations of the algebra so3(R).
Cite:
Neshchadim M.V.
The Liouville Equation and Sharply Transitive Representations of the Algebra $$ sl_2(\mathbb {R}) $$
Journal of Applied and Industrial Mathematics. 2022. V.16. N4. P.706-712. DOI: 10.1134/s1990478922040111 Scopus РИНЦ OpenAlex
The Liouville Equation and Sharply Transitive Representations of the Algebra $$ sl_2(\mathbb {R}) $$
Journal of Applied and Industrial Mathematics. 2022. V.16. N4. P.706-712. DOI: 10.1134/s1990478922040111 Scopus РИНЦ OpenAlex
Original:
Нещадим М.В.
Уравнение Лиувилля и точно транзитивные представления алгебры
Сибирский журнал индустриальной математики. 2022. Т.25. №4. С.99-106. DOI: 10.33048/SIBJIM.2022.25.408 РИНЦ
Уравнение Лиувилля и точно транзитивные представления алгебры
Сибирский журнал индустриальной математики. 2022. Т.25. №4. С.99-106. DOI: 10.33048/SIBJIM.2022.25.408 РИНЦ
Dates:
| Submitted: | Jun 8, 2022 |
| Accepted: | Jun 22, 2022 |
| Published online: | Mar 6, 2023 |
Identifiers:
| Scopus: | 2-s2.0-85150293364 |
| Elibrary: | 59239735 |
| OpenAlex: | W4323344542 |