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Algebra

Representation theory

Representation theory of the symmetric group

Partition of an integer

Beta set of a partition

Abacus of a partition

Core of a partition

{title2=$w_e(\lambda)$}

= Partition weight
{synonym}

The $e$-weight is the number of $e$-hooks removed to reach the $e$-core. It satisfies
$$
|\lambda|=|C_e(\lambda)|+e w_e(\lambda)
$$
and equals the total size of the partitions in the $e$-quotient.


Weight of a partition

Past exam of the mathematics course of the University of Cambridge / 2005 / iii / Paper 3 / 8 / Solution

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Past exam of the mathematics course of the University of Cambridge / 2018 / iii / Paper 103 / 3 / i / Solution

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Power-core truncation of a prime-core tower

codex/partition-weight

Weight of a partition ( $w_{e} (λ)$ )

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Weight of a partition (we​(λ))