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

被引:0
|
作者
Shin, Heesung [1 ]
Zeng, Jiang [1 ]
机构
[1] Univ Lyon 1, Inst Camille Jordan, UMR 5208, CNRS, F-69622 Villeurbanne, France
关键词
Involution; Symmetry; Super-symmetry; Hook length; Part length; Partitions; Bijection;
D O I
10.1016/j.disc.2010.01.011
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A pointed partition of n is a pair (lambda, v), where lambda 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]. (c) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:1633 / 1639
页数:7
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