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

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...

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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
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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

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Digital Library of Periodicals of National Academy of Sciences of Ukraine