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

Abstract

A {\em pointed partition} of $n$ is a pair $(\lambda ,v)$ where $\lambda ⊢n$ 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.

arXiv comment9 pages, 7 figures

References in corpus (1)

• Hooks and powers of parts in partitions