Compact formulas for Macdonald polynomials and quasisymmetric Macdonald polynomials

被引：0
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作者：
Sylvie Corteel
Jim Haglund
Olya Mandelshtam
Sarah Mason
Lauren Williams
机构：
[1] UC Berkeley,Department of Mathematics
[2] University of Pennsylvania,Department of Mathematics
[3] University of Waterloo,Department of Combinatorics and Optimization
[4] Wake Forest University,Department of Mathematics
[5] Harvard University,Department of Mathematics
来源：
Selecta Mathematica | 2022年 / 28卷
关键词：
05E05; 33D52;
D O I：
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学科分类号：
摘要：
We present several new and compact formulas for the modified and integral form of the Macdonald polynomials, building on the compact “multiline queue” formula for Macdonald polynomials due to Corteel, Mandelshtam, and Williams. We also introduce a new quasisymmetric analogue of Macdonald polynomials. These “quasisymmetric Macdonald polynomials" refine the (symmetric) Macdonald polynomials and specialize to the quasisymmetric Schur polynomials defined by Haglund, Luoto, Mason, and van Willigenburg.
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