“…When writing this paper, it was brought to the author's attention that the decomposition numbers of the partition algebra P k n (δ) over a field k of characteristic p > n were obtained independently, and by different methods, by A. Shalile [17].…”
Abstract. We examine the structure of the partition algebra Pn(δ) over a field k of characteristic p > 0. In particular, we describe the decomposition matrix of Pn(δ) when n < p and δ = 0, and when n = p and δ = p − 1.
“…When writing this paper, it was brought to the author's attention that the decomposition numbers of the partition algebra P k n (δ) over a field k of characteristic p > n were obtained independently, and by different methods, by A. Shalile [17].…”
Abstract. We examine the structure of the partition algebra Pn(δ) over a field k of characteristic p > 0. In particular, we describe the decomposition matrix of Pn(δ) when n < p and δ = 0, and when n = p and δ = p − 1.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.