Lie's classification of finite dimensional algebras of Vector Fields in C^N

Hassan Azad; Indranil Biswas; Said Waqas Shah

arxiv: 2605.24948 · v1 · pith:PN7QGQVFnew · submitted 2026-05-24 · 🧮 math.RT · math.DG

Lie's classification of finite dimensional algebras of Vector Fields in C^N

Hassan Azad , Indranil Biswas , Said Waqas Shah This is my paper

classification 🧮 math.RT math.DG

keywords fieldsvectoralgebrasdimensionalfiniteresultsarbitrarybrief

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Brief proofs of classical results of Lie on finite dimensional subalgebras of vector fields in two and three variables are outlined. The results for algebras of maximal rank for vector fields in $\mathbb{C}^N$ -- $N$ arbitrary -- are also given.

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Lie's classification of finite dimensional algebras of Vector Fields in C^N

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