The center of the walled Brauer algebra $B_{r,1}(δ)$
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_ | 1866917874058133504 |
|---|---|
| author | Chavli, Eirini De Visscher, Maud Parker, Alison Salmon, Sarah Wilson, Ulrica |
| author_facet | Chavli, Eirini De Visscher, Maud Parker, Alison Salmon, Sarah Wilson, Ulrica |
| contents | We show that the centre of the walled Brauer algebra $B_{r,1}(δ)$ over the complex field $\mathbb{C}$, for any parameter $δ\in \mathbb{C}$, is generated by the supersymmetric polynomials evaluated at the Jucys-Murphy elements. Moreover, we prove that its dimension is independent of the parameter $δ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_14716 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The center of the walled Brauer algebra $B_{r,1}(δ)$ Chavli, Eirini De Visscher, Maud Parker, Alison Salmon, Sarah Wilson, Ulrica Representation Theory 16U70, 05E05 We show that the centre of the walled Brauer algebra $B_{r,1}(δ)$ over the complex field $\mathbb{C}$, for any parameter $δ\in \mathbb{C}$, is generated by the supersymmetric polynomials evaluated at the Jucys-Murphy elements. Moreover, we prove that its dimension is independent of the parameter $δ$. |
| title | The center of the walled Brauer algebra $B_{r,1}(δ)$ |
| topic | Representation Theory 16U70, 05E05 |
| url | https://arxiv.org/abs/2412.14716 |