Free post-groups, post-groups from group actions, and post-Lie algebras
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2023
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866916087793188864 |
|---|---|
| author | Al-Kaabi, Mahdi Jasim Hasan Ebrahimi-Fard, Kurusch Manchon, Dominique |
| author_facet | Al-Kaabi, Mahdi Jasim Hasan Ebrahimi-Fard, Kurusch Manchon, Dominique |
| contents | After providing a short review on the recently introduced notion of post-group by Bai, Guo, Sheng and Tang, we exhibit post-group counterparts of important post-Lie algebras in the literature, including the infinite-dimensional post-Lie algebra of Lie group integrators. The notion of free post-group is examined, and a group isomorphism between the two group structures associated to a free post-group is explicitly constructed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_08284 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Free post-groups, post-groups from group actions, and post-Lie algebras Al-Kaabi, Mahdi Jasim Hasan Ebrahimi-Fard, Kurusch Manchon, Dominique Quantum Algebra After providing a short review on the recently introduced notion of post-group by Bai, Guo, Sheng and Tang, we exhibit post-group counterparts of important post-Lie algebras in the literature, including the infinite-dimensional post-Lie algebra of Lie group integrators. The notion of free post-group is examined, and a group isomorphism between the two group structures associated to a free post-group is explicitly constructed. |
| title | Free post-groups, post-groups from group actions, and post-Lie algebras |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/2306.08284 |