On the decomposition matrix of the partition algebra in positive characteristic

Abstract

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

23 pages. arXiv admin note: text overlap with arXiv:1402.5157

References in corpus (1)

• On the modular representation theory of the partition algebra