Lie's classification of finite dimensional algebras of Vector Fields in C^N
Representation Theory
2026-05-26 v1 Differential Geometry
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 -- arbitrary -- are also given.
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Cite
@article{arxiv.2605.24948,
title = {Lie's classification of finite dimensional algebras of Vector Fields in C^N},
author = {Hassan Azad and Indranil Biswas and Said Waqas Shah},
journal= {arXiv preprint arXiv:2605.24948},
year = {2026}
}
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