Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2308.12121 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917216080887808 |
|---|---|
| author | Zou, Xiaoguang Gao, Xiang Kang, Chuangchuang Lü, Jiafeng |
| author_facet | Zou, Xiaoguang Gao, Xiang Kang, Chuangchuang Lü, Jiafeng |
| contents | In this paper, we describe all Nijenhuis operators on 2-dimensional complex pre-Lie algebras and 3-dimensional complex associative algebras. As an application, using these operators, we obtain solutions of the classical Yang-Baxter equation on the corresponding sub-adjacent Lie algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_12121 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Nijenhuis operators on 2D pre-Lie algebras and 3D associative algebras Zou, Xiaoguang Gao, Xiang Kang, Chuangchuang Lü, Jiafeng Mathematical Physics 17B60 16T25 17B81 In this paper, we describe all Nijenhuis operators on 2-dimensional complex pre-Lie algebras and 3-dimensional complex associative algebras. As an application, using these operators, we obtain solutions of the classical Yang-Baxter equation on the corresponding sub-adjacent Lie algebras. |
| title | Nijenhuis operators on 2D pre-Lie algebras and 3D associative algebras |
| topic | Mathematical Physics 17B60 16T25 17B81 |
| url | https://arxiv.org/abs/2308.12121 |