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:
Coll Holy Cross, Dept Math & Comp Sci, Worcester, MA 01610 USAColl Holy Cross, Dept Math & Comp Sci, Worcester, MA 01610 USA
Ballantine, Cristina
Burson, Hannah E.
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机构:
Univ Minnesota Twin Cities, Sch Math, 127 Vincent Hall,206 Church St SE, Minneapolis, MN 55455 USAColl Holy Cross, Dept Math & Comp Sci, Worcester, MA 01610 USA
Burson, Hannah E.
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机构:
Craig, William
Folsom, Amanda
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机构:
Amherst Coll, Dept Math & Stat, Amherst, MA 01002 USAColl Holy Cross, Dept Math & Comp Sci, Worcester, MA 01610 USA
Folsom, Amanda
Wen, Boya
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机构:
Univ Wisconsin, Dept Math, 480 Lincoln Dr, Madison, WI 53706 USAColl Holy Cross, Dept Math & Comp Sci, Worcester, MA 01610 USA