Some special bases of the 2-swap algebras
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914849957609472 |
|---|---|
| author | Procesi, Claudio |
| author_facet | Procesi, Claudio |
| contents | We study the algebra $Σ_n$ induced by the action of the symmetric group $S_n$ on $V^{\otimes n}$ when $\dim V=2$. Our main result is that the space of symmetric elements of $Σ_n$ is linearly spanned by the involutions of $S_n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_18687 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Some special bases of the 2-swap algebras Procesi, Claudio Quantum Algebra Group Theory 81R15 We study the algebra $Σ_n$ induced by the action of the symmetric group $S_n$ on $V^{\otimes n}$ when $\dim V=2$. Our main result is that the space of symmetric elements of $Σ_n$ is linearly spanned by the involutions of $S_n$. |
| title | Some special bases of the 2-swap algebras |
| topic | Quantum Algebra Group Theory 81R15 |
| url | https://arxiv.org/abs/2406.18687 |