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.
机构:
Univ Strasbourg, IRMA UMR 7501, F-67084 Strasbourg, France
CNRS, F-67084 Strasbourg, FranceUniv Strasbourg, IRMA UMR 7501, F-67084 Strasbourg, France