The split 5-Casimir operator and the structure of $\wedge \mathfrak{ad}^{\otimes 5}$
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910397866442752 |
|---|---|
| author | Isaev, Alexey P. Krivonos, Sergey O. |
| author_facet | Isaev, Alexey P. Krivonos, Sergey O. |
| contents | In the present paper, using the split Casimir operators we have found the decomposition of the antisymmetric part of $\mathfrak{ad}^{\otimes 5}$. This decomposition contains the representations that appeared in the decomposition of $\mathfrak{ad}^{\otimes 4}$ and only one new representation $X_5$. The dimension of this representation has been proposed in [A.J.Macfarlane, H.Pfeiffer, J.Phys.A: Math. Gen. 36 (2003) 2305]. Our decomposition is valid for all Lie algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_01038 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The split 5-Casimir operator and the structure of $\wedge \mathfrak{ad}^{\otimes 5}$ Isaev, Alexey P. Krivonos, Sergey O. Mathematical Physics High Energy Physics - Theory In the present paper, using the split Casimir operators we have found the decomposition of the antisymmetric part of $\mathfrak{ad}^{\otimes 5}$. This decomposition contains the representations that appeared in the decomposition of $\mathfrak{ad}^{\otimes 4}$ and only one new representation $X_5$. The dimension of this representation has been proposed in [A.J.Macfarlane, H.Pfeiffer, J.Phys.A: Math. Gen. 36 (2003) 2305]. Our decomposition is valid for all Lie algebras. |
| title | The split 5-Casimir operator and the structure of $\wedge \mathfrak{ad}^{\otimes 5}$ |
| topic | Mathematical Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2404.01038 |