Weak Dual Equivalence for Polynomials

被引:0
|
作者
Sami Assaf
机构
[1] University of Southern California,Department of Mathematics
来源
Annals of Combinatorics | 2022年 / 26卷
关键词
Dual equivalence; Key polynomials; Slide polynomials; Schubert polynomials; Primary 05E05; Secondary 05A15; 05A19; 05E10; 05E18; 14N15;
D O I
暂无
中图分类号
学科分类号
摘要
We introduce weak dual equivalence and use it to introduce skew key polynomials which, when skewed by a partition, expand nonnegatively in the key basis. We also give a new nonnegative Littlewood–Richardson rule for the key positive of the product of a key polynomial and a Schur polynomial, recovering a result of Haglund, Luoto, Mason, and van Willigenburg.
引用
收藏
页码:571 / 591
页数:20
相关论文
共 50 条
  • [1] Weak Dual Equivalence for Polynomials
    Assaf, Sami
    ANNALS OF COMBINATORICS, 2022, 26 (03) : 571 - 591
  • [2] Hermite equivalence of polynomials
    Bhargava, Manjul
    Evertse, Jan-Hendrik
    Gyory, Kalman
    Remete, Laszlo
    Swaminathan, Ashvin A.
    ACTA ARITHMETICA, 2023, 209 (01) : 17 - 58
  • [3] Bilipschitz equivalence of polynomials
    Bodin, Arnaud
    MATHEMATISCHE NACHRICHTEN, 2021, 294 (07) : 1295 - 1310
  • [4] Dual equivalence graphs revisited and the explicit Schur expansion of a family of LLT polynomials
    Roberts, Austin
    JOURNAL OF ALGEBRAIC COMBINATORICS, 2014, 39 (02) : 389 - 428
  • [5] Dual equivalence graphs revisited and the explicit Schur expansion of a family of LLT polynomials
    Austin Roberts
    Journal of Algebraic Combinatorics, 2014, 39 : 389 - 428
  • [6] Congruence Formats for Weak Readiness Equivalence and Weak Possible Future Equivalence
    Huang, Xiaowei
    Jiao, Li
    Lu, Weiming
    COMPUTER JOURNAL, 2010, 53 (01): : 21 - 36
  • [7] Correlative methods for dual-species quantum tests of the weak equivalence principle
    Barrett, B.
    Antoni-Micollier, L.
    Chichet, L.
    Battelier, B.
    Gominet, P-A
    Bertoldi, A.
    Bouyer, P.
    Landragin, A.
    NEW JOURNAL OF PHYSICS, 2015, 17
  • [8] WEAK EQUIVALENCE OF AUTOMATA
    RYSTOV, IK
    CYBERNETICS, 1990, 26 (05): : 737 - 742
  • [9] Weak Arithmetic Equivalence
    Mantilla-Soler, Guillermo
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2015, 58 (01): : 115 - 127
  • [10] WEAK EQUIVALENCE IN THE BALANCE
    MADDOX, J
    NATURE, 1991, 350 (6315) : 187 - 187