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：
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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.
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页码：571 / 591
页数：20
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