Non-Crossing Tableaux

被引:0
|
作者
Pavlo Pylyavskyy
机构
[1] MIT,Department of Mathematics
来源
Annals of Combinatorics | 2009年 / 13卷
关键词
05E99; 05A99; Young symmetrizer; Specht module; Weyl module; standard Young tableaux; standard monomials; standard bitableaux; non-crossing tableaux; non-crossing monomials; non-crossing bitableaux;
D O I
暂无
中图分类号
学科分类号
摘要
In combinatorics there is a well-known duality between non-nesting and non-crossing objects. In algebra there are many objects which are standard, for example, standard Young tableaux, standard monomials, and standard bitableaux. We adopt a point of view that these standard objects are really non-nesting, and we find their non-crossing counterparts.
引用
收藏
页码:323 / 339
页数:16
相关论文
共 50 条
  • [1] Non-Crossing Tableaux
    Pylyavskyy, Pavlo
    ANNALS OF COMBINATORICS, 2009, 13 (03) : 323 - 339
  • [2] Non-crossing frameworks with non-crossing reciprocals
    Orden, D
    Rote, G
    Santos, F
    Servatius, B
    Servatius, H
    Whiteley, W
    DISCRETE & COMPUTATIONAL GEOMETRY, 2004, 32 (04) : 567 - 600
  • [3] Non-Crossing Frameworks with Non-Crossing Reciprocals
    David Orden
    Günter Rote
    Francisco Santos
    Brigitte Servatius
    Herman Servatius
    Walter Whiteley
    Discrete & Computational Geometry, 2004, 32 : 567 - 600
  • [4] Comparison between the non-crossing and the non-crossing on lines properties
    Campbell, D.
    Pratelli, A.
    Radici, E.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 498 (01)
  • [5] Non-crossing matchings
    A. A. Vladimirov
    Problems of Information Transmission, 2013, 49 : 54 - 57
  • [6] Non-crossing matchings
    Vladimirov, A. A.
    PROBLEMS OF INFORMATION TRANSMISSION, 2013, 49 (01) : 54 - 57
  • [7] The non-crossing graph
    Linial, N
    Saks, M
    Statter, D
    ELECTRONIC JOURNAL OF COMBINATORICS, 2006, 13 (01):
  • [8] Annular Non-Crossing Matchings
    Drube, Paul
    Pongtanapaisan, Puttipong
    JOURNAL OF INTEGER SEQUENCES, 2016, 19 (02)
  • [9] Coloring non-crossing strings
    Esperet, Louis
    Goncalves, Daniel
    Labourel, Arnaud
    ELECTRONIC JOURNAL OF COMBINATORICS, 2016, 23 (04):
  • [10] POSITROIDS AND NON-CROSSING PARTITIONS
    Ardila, Federico
    Rincon, Felipe
    Williams, Lauren
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 368 (01) : 337 - 363