The partition algebra and the plethysm coefficients II: ramified plethysm

Chris Bowman, Rowena Paget, Mark Wildon

The plethysm coefficient $p(\hat{I}½,\hat{I}¼,\hat{I}»)$ is the multiplicity of the Schur function $s_{\hat{I}}»$ in the plethysm product $s_{\hat{I}}½\circ s_{\hat{I}}¼$. In this paper we use Schur--Weyl duality between…