An involution for symmetry of hook length and part length of partitions

Details An involution for symmetry of hook length and part length of partitions An involution for symmetry of hook length and part length of partitions

2009-07-28

arxiv.org/abs/0907.4880v2

Mathematics

Combinatorics

9 pages, 7 figures

Scientific paper

A {\em pointed partition} of $n$ is a pair $(\lambda, v)$ where
$\lambda\vdash n$ and $v$ is a cell in its Ferrers diagram. We construct an
involution on pointed partitions of $n$ exchanging "hook length" and "part
length". This gives a bijective proof of a recent result of Bessenrodt and Han.

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