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Representation theory of the symmetric group

Partition of an integer

{wiki=Dominance_order}

For partitions of the same integer, $\lambda$ dominates $\mu$ when
$$
\sum_{i=1}^r\lambda_i\geq\sum_{i=1}^r\mu_i
$$
for every $r$.


Dominance order on partitions

Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 160 / 4 / d / ii / Solution

Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 160 / 4 / e / Solution

Dominance order on partitions

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Dominance order on partitions

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