Hook product of a partition (source code)

= Hook product of a partition
{title2=$H_\lambda=\prod_{(i,j)\in\lambda}h_{ij}$}

= Hook product
{synonym}

The product of all <hook lengths> in a <Young diagram> is the denominator in the <hook-length formula>, and the scalar in the quasi-idempotence identity for its <Young symmetrizer>.