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arXiv · 2605.24948

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

Hassan Azad·Indranil Biswas·Said Waqas Shah
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Abstract

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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Hassan Azad, Indranil Biswas, Said Waqas Shah. 2026-05-24. Lie's classification of finite dimensional algebras of Vector Fields in C^N. https://arxiv.org/abs/2605.24948

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