Equality of the algebraic and geometric ranks of Cartan subalgebras and applications to linearization of a system of ordinary differential equations

DOI10.1142/S0129167X1750080XzbMath1382.34016arXiv1612.08535OpenAlexW2563706703WikidataQ115246513 ScholiaQ115246513MaRDI QIDQ4595307

Indranil Biswas, F. M. Mahomed, Hassan Azad

Publication date: 29 November 2017

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.08535

zbMATH Keywords

semisimple Lie algebrasvector fieldssystems of ordinary differential equationsgeometric rank

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Geometric methods in ordinary differential equations (34A26) Dynamics induced by flows and semiflows (37C10) Foliations in differential topology; geometric theory (57R30)

Related Items (2)

On Computing Linearizing Coordinates From Symmetry Algebra ⋮ On Lie's classification of subalgebras of vector fields on the plane

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