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arXiv · 1403.6691

On the decomposition matrix of the partition algebra in positive characteristic

Oliver King
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Abstract

We examine the structure of the partition algebra $P_n(δ)$ over a field $k$ of characteristic $p>0$. In particular, we describe the decomposition matrix of $P_n(δ)$ when $n<p$ and when $n=p$ and $δ=p-1$.

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BibTeXRIS

Oliver King. 2014-03-26. On the decomposition matrix of the partition algebra in positive characteristic. https://arxiv.org/abs/1403.6691

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