2 problems

Let $V_r\otimes V_s$ decompose as … where $1\leqslant r\leqslant s$, the $\mu_i$ are the distinct part sizes, and $m_i$ are their multiplicities. McFall's conjecture. The multiplic…

Let $P$ be a partition, let $\mathcal U_B$ be the relevant space of nilpotent matrices commuting with a fixed nilpotent matrix of Jordan type $P$, and let $A$ be an adequate matrix…