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arXiv · 2604.02989

Semisimplicity criterion for 2-tonal partition algebras

C. Ahmed·G. M. Benkart·O. H. King·P. P. Martin·A. E. Parker
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Abstract

We determine the semisimplicity criterion for even partition algebras over the complex field. Specifically we prove that the even/2-tonal partition algebras $P_n^2(\delta)$ over $\mathbb{C}$ are semisimple for all $n$ if and only if parameter $\delta \not\in \mathbb{N}_0$ .

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BibTeXRIS

C. Ahmed, G. M. Benkart, O. H. King, P. P. Martin, A. E. Parker. 2026-04-03. Semisimplicity criterion for 2-tonal partition algebras. https://arxiv.org/abs/2604.02989

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