The center of the walled Brauer algebra $B_{r,1}(\delta)$
| Autor: | Chavli, Eirini, De Visscher, Maud, Parker, Alison, Salmon, Sarah, Wilson, Ulrica |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We show that the centre of the walled Brauer algebra $B_{r,1}(\delta)$ over the complex field $\mathbb{C}$, for any parameter $\delta\in \mathbb{C}$, is generated by the supersymmetric polynomials evaluated at the Jucys-Murphy elements. Moreover, we prove that its dimension is independent of the parameter $\delta$. |
| Databáze: | arXiv |
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