A. Parker

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math.RT2026

Semisimplicity criterion for 2-tonal partition algebras

C. Ahmed, G. M. Benkart, O. H. King +2

We determine the semisimplicity criterion for even partition algebras over the complex field. Specifically we prove that the even/2-tonal partition algebras $P_{n}^{2} (δ)$ over $\mathb…

math.RT2024

The center of the walled Brauer algebra $B_{r, 1} (δ)$

Eirini Chavli, Maud De Visscher, Alison Parker +2

We show that the centre of the walled Brauer algebra $B_{r, 1} (δ)$ over the complex field $C$ , for any parameter $δ \in C$ , is generated by the supersymmetric polyn…

math.RT2024

On semi-simplicity of KMY algebras

Nouf Alraddadi, Alison Parker

We study the algebras, $J_{l, n} (δ)$ , introduced by Kadar-Martin-Yu in arXiv:1401.1774. We show that these algebras are iterated inflation algebras. We give a set of generators for…

Semisimplicity criterion for 2-tonal partition algebras

The center of the walled Brauer algebra Br,1​(δ)

On semi-simplicity of KMY algebras

The center of the walled Brauer algebra $B_{r, 1} (δ)$