On Lie's classification of subalgebras of vector fields on the plane

DOI10.1007/s12044-022-00711-5zbMath1506.17021arXiv2012.01422OpenAlexW3107196501MaRDI QIDQ2106898

Said Waqas Shah, F. M. Mahomed, Indranil Biswas, Hassan Azad

Publication date: 29 November 2022

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.01422

zbMATH Keywords

PDEODELie algebra of vector fieldsrepresentation of Lie algebras

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Solvable, nilpotent (super)algebras (17B30) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25)

Cites Work

• A note on real algebraic groups.
• Lie Algebras of Vector Fields in the Real Plane
• Equality of the algebraic and geometric ranks of Cartan subalgebras and applications to linearization of a system of ordinary differential equations
• Theory of Transformation Groups I