Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2503.13059 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866916654465679360 |
|---|---|
| author | Bajo, Ignacio Benayadi, Saïd Oubba, Hassan |
| author_facet | Bajo, Ignacio Benayadi, Saïd Oubba, Hassan |
| contents | We show that there are no symmetric non-zero biderivations on perfect Lie algebras of finite dimension over a field of characteristic zero. We show that this is equivalent to show that every symmetric biderivation on a finite-dimensional perfect Lie algebra over such a field with values in a finite-dimensional module vanishes identically. This answers an open question posed by M. Brešar and K. Zhao. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_13059 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-existence of symmetric biderivations on finite-dimensional perfect Lie algebras Bajo, Ignacio Benayadi, Saïd Oubba, Hassan Rings and Algebras 17A20, 17A32, 17A60 We show that there are no symmetric non-zero biderivations on perfect Lie algebras of finite dimension over a field of characteristic zero. We show that this is equivalent to show that every symmetric biderivation on a finite-dimensional perfect Lie algebra over such a field with values in a finite-dimensional module vanishes identically. This answers an open question posed by M. Brešar and K. Zhao. |
| title | Non-existence of symmetric biderivations on finite-dimensional perfect Lie algebras |
| topic | Rings and Algebras 17A20, 17A32, 17A60 |
| url | https://arxiv.org/abs/2503.13059 |