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The center of the walled Brauer algebra $B_{r,1}(δ)$
Published 19 Dec 2024 in math.RT | (2412.14716v1)
Abstract: 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 $\delta$.
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