Polynomial invariants for 3-dimensional Leibniz algebras
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914169580683264 |
|---|---|
| author | Kaygorodov, Ivan Lopatin, Artem |
| author_facet | Kaygorodov, Ivan Lopatin, Artem |
| contents | For each 3-dimensional non-Lie Leibniz algebra over the complex numbers, we describe the algebra of polynomial invariants and determine its group of automorphisms. As a consequence, we establish that any two non-nilpotent 3-dimensional non-Lie Leibniz algebras can be distinguished by the traces of degrees $\leqslant 2$ and by the dimensions of their automorphism groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_07125 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Polynomial invariants for 3-dimensional Leibniz algebras Kaygorodov, Ivan Lopatin, Artem Rings and Algebras For each 3-dimensional non-Lie Leibniz algebra over the complex numbers, we describe the algebra of polynomial invariants and determine its group of automorphisms. As a consequence, we establish that any two non-nilpotent 3-dimensional non-Lie Leibniz algebras can be distinguished by the traces of degrees $\leqslant 2$ and by the dimensions of their automorphism groups. |
| title | Polynomial invariants for 3-dimensional Leibniz algebras |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2505.07125 |