A combinatorial proof of the supper symmetric property of hook length

Autor: Ando, Masanori
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
Popis: There are $k$ kinds of length $k$ hooks with different arm length. Actually, this $k$ kinds appear uniformly in Young diagrams of size $n$. The property ``appear uniformly'' is called super symmetric. We give a combinatorial proof of the supper symmetric property of hook length.
Comment: This is the content already on C. Bessenrodt, `On hooks of Young diagrams', Annals of Comb. 2 (1998) 103-110
Databáze: arXiv