Tower tableaux and Schubert polynomials

被引:2
|
作者
Coskun, Olcay [1 ]
Taskin, Muge [1 ]
机构
[1] Bogazici Univ, Matemat Bolumu, TR-34342 Istanbul, Turkey
关键词
Schubert polynomial; Tower tableaux; Balanced labeling;
D O I
10.1016/j.jcta.2013.08.001
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that the well-known condition of being a balanced labeling can be characterized in terms of the sliding algorithm on tower diagrams. The characterization involves a generalization of authors' Rothification algorithm. Using the characterization, we obtain descriptions of Schubert polynomials and Stanley symmetric functions. (c) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码:1976 / 1995
页数:20
相关论文
共 50 条
  • [1] TABLEAUX AND NONCOMMUTATIVE SCHUBERT POLYNOMIALS
    LASCOUX, A
    SCHUTZENBERGER, MP
    FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1989, 23 (03) : 223 - 224
  • [2] Tower tableaux
    Coskun, Olcay
    Taskin, Muge
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2013, 120 (04) : 843 - 871
  • [3] Schubert functors and Schubert polynomials
    Kraskiewicz, W
    Pragacz, P
    EUROPEAN JOURNAL OF COMBINATORICS, 2004, 25 (08) : 1327 - 1344
  • [4] SCHUBERT POLYNOMIALS
    LASCOUX, A
    SCHUTZENBERGER, MP
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1982, 294 (13): : 447 - 450
  • [5] TABLEAUX FORMULAS FOR MACDONALD POLYNOMIALS
    Bergeron, Francois
    Haiman, Mark
    INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2013, 23 (04) : 833 - 852
  • [6] Universal Schubert polynomials
    Fulton, W
    DUKE MATHEMATICAL JOURNAL, 1999, 96 (03) : 575 - 594
  • [7] Twisted Schubert polynomials
    Liu, Ricky Ini
    SELECTA MATHEMATICA-NEW SERIES, 2022, 28 (05):
  • [8] Twisted Schubert polynomials
    Ricky Ini Liu
    Selecta Mathematica, 2022, 28
  • [9] The skew Schubert polynomials
    Chen, WYC
    Yan, GG
    Yang, ALB
    EUROPEAN JOURNAL OF COMBINATORICS, 2004, 25 (08) : 1181 - 1196
  • [10] Rational Schubert polynomials
    Aker, Kursat
    Tutas, Nesrin
    TURKISH JOURNAL OF MATHEMATICS, 2015, 39 (03) : 439 - 452