Solvable Lie Algebras of Vector Fields and a Lie's Conjecture

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2020
• Hauptverfasser: Grabowska, Katarzyna, Grabowski, Janusz
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2020
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/210783
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Solvable Lie Algebras of Vector Fields and a Lie's Conjecture. Katarzyna Grabowska and Janusz Grabowski. SIGMA 16 (2020), 065, 14 pages

We present a local and constructive differential geometric description of finite-dimensional solvable and transitive Lie algebras of vector fields. We show that it implies Lie's conjecture for such Lie algebras. Also, infinite-dimensional analytically solvable and transitive Lie algebras of vec...