Nilpotent Lie algebras of vector fields in three variables
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913175536926720 |
|---|---|
| author | Azad, Hassan Biswas, Indranil Ghanam, Ryad |
| author_facet | Azad, Hassan Biswas, Indranil Ghanam, Ryad |
| contents | We give a complete constructive description of all finite dimensional nilpotent Lie algebras of smooth vector fields in three variables, including intransitive algebras. The description is organized by the rank and dimension of the center, which serves as the key invariant. Since every nonabelian solvable algebra lives in the normalizer of a nilpotent algebra, our normal forms provide the essential building blocks for the study of all solvable algebras of vector fields in three variables. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_20039 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Nilpotent Lie algebras of vector fields in three variables Azad, Hassan Biswas, Indranil Ghanam, Ryad Representation Theory We give a complete constructive description of all finite dimensional nilpotent Lie algebras of smooth vector fields in three variables, including intransitive algebras. The description is organized by the rank and dimension of the center, which serves as the key invariant. Since every nonabelian solvable algebra lives in the normalizer of a nilpotent algebra, our normal forms provide the essential building blocks for the study of all solvable algebras of vector fields in three variables. |
| title | Nilpotent Lie algebras of vector fields in three variables |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2605.20039 |