Hook of a Young diagram
= Hook of a Young diagram
{c}
{wiki=Hook_length_formula#Young_diagrams}
The hook $H_{i,j}(\lambda)$ consists of $(i,j)$, the cells to its right in row $i$, and the cells below it in column $j$. Its hook length is
$$
h_{i,j}(\lambda)=\lambda_i-j+\lambda'_j-i+1.
$$
= Young-diagram hook
{c}
{synonym}