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

Authors
Journal
Discrete Mathematics
0012-365X
Publisher
Elsevier
Publication Date
Volume
310
Identifiers
DOI: 10.1016/j.disc.2010.01.011
Keywords
  • Involution
  • Symmetry
  • Super-Symmetry
  • Hook Length
  • Part Length
  • Partitions
  • Bijection

Abstract

Abstract A pointed partition of n is a pair ( λ , v ) , where λ is a partition of n and v is a cell in its Ferrers diagram. In this paper, an involution on pointed partitions of n exchanging hook length and part length is constructed. This gives a bijective proof of a recent result of Bessenrodt and Han (2009) [4].

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