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arXiv · 2310.07231

A note on the structure coefficients of the centraliser algebra

Omar Tout
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Abstract

In this note we generalize the definition of partial permutations of Ivanov and Kerov and we build a universal algebra which projects onto the m-centraliser algebra defined by Creedon. We use it to present a new proof for the polynomiality property of the structure coefficients of the m-centraliser algebra and to obtain upper bounds for the polynomial degrees.

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Omar Tout. 2023-10-11. A note on the structure coefficients of the centraliser algebra. https://arxiv.org/abs/2310.07231

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