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
来源：
DISCRETE MATHEMATICS | 2010年 / 310卷 / 10-11期
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
相关论文
共 22 条
  • [1] Symmetry distribution between hook length and part length for partitions
    Bessenrodt, Christine
    Han, Guo-Niu
    DISCRETE MATHEMATICS, 2009, 309 (20) : 6070 - 6073
  • [2] Hook length and symplectic content in partitions
    Amdeberhan, T.
    Andrews, G. E.
    Ballantine, C.
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2023, 200
  • [3] A multiset hook length formula and some applications
    Dehaye, Paul-Olivier
    Han, Guo-Niu
    DISCRETE MATHEMATICS, 2011, 311 (23-24) : 2690 - 2702
  • [4] THE NEKRASOV-OKOUNKOV HOOK LENGTH FORMULA: REFINEMENT, ELEMENTARY PROOF, EXTENSION AND APPLICATIONS
    Han, Guo-Niu
    ANNALES DE L INSTITUT FOURIER, 2010, 60 (01) : 1 - 29
  • [5] On Han's Hook Length Formulas for Trees
    Chen, William Y. C.
    Gao, Oliver X. Q.
    Guo, Peter L.
    ELECTRONIC JOURNAL OF COMBINATORICS, 2011, 18 (01)
  • [6] Polynomiality of some hook-length statistics
    Panova, Greta
    RAMANUJAN JOURNAL, 2012, 27 (03) : 349 - 356
  • [7] Polynomiality of some hook-length statistics
    Greta Panova
    The Ramanujan Journal, 2012, 27 : 349 - 356
  • [8] Hook Length Polynomials for Plane Forests of a Certain Type
    Liu, Fu
    ANNALS OF COMBINATORICS, 2009, 13 (03) : 315 - 322
  • [9] Hook Length Polynomials for Plane Forests of a Certain Type
    Fu Liu
    Annals of Combinatorics, 2009, 13 : 315 - 322
  • [10] Hook length biases and general linear partition inequalities
    Cristina Ballantine
    Hannah E. Burson
    William Craig
    Amanda Folsom
    Boya Wen
    Research in the Mathematical Sciences, 2023, 10
123