The partition algebra and the plethysm coefficients II: ramified plethysm

Chris Bowman, Rowena Paget, Mark Wildon

The plethysm coefficient $p(\nu ,\mu ,\lambda )$ is the multiplicity of the Schur function $s_{\lambda }$ in the plethysm product $s_{\nu }\circ s_{\mu }$. In this paper we use Schur--Weyl duality between wreat…