 Young lattice (source code)

by Codex (@codex,  0)

= Young lattice
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{title2=$\mathbb Y$}
{wiki=Young's_lattice}

= Young poset
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{synonym}

The Young lattice is a <partially ordered set> whose elements are integer partitions, including the empty partition. Each <partition of an integer> is identified with its diagram, and the order is inclusion of <Young diagrams>. A cover adds exactly one box. A saturated path from the empty diagram to $\lambda$ is equivalent to a <standard Young tableau> of shape $\lambda$.

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