Lie's classification of finite dimensional algebras of Vector Fields in C^N
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866916043021090816 |
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| author | Azad, Hassan Biswas, Indranil Shah, Said Waqas |
| author_facet | Azad, Hassan Biswas, Indranil Shah, Said Waqas |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_24948 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Lie's classification of finite dimensional algebras of Vector Fields in C^N Azad, Hassan Biswas, Indranil Shah, Said Waqas Representation Theory Differential Geometry 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. |
| title | Lie's classification of finite dimensional algebras of Vector Fields in C^N |
| topic | Representation Theory Differential Geometry |
| url | https://arxiv.org/abs/2605.24948 |