Work

Semisimplicity criterion for 2-tonal partition algebras

Year: 2026

Type: preprint

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

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2604.02989

Authors: Ahmed, C., Benkart, G. M., King, O. H., Martin, P. P., Parker, A. E.

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7151053253

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