Compact formulas for Macdonald polynomials and quasisymmetric Macdonald polynomials

被引：8

作者：

Corteel, Sylvie ^{[1
]}

Haglund, Jim ^{[2
]}

Mandelshtam, Olya ^{[3
]}

Mason, Sarah ^{[4
]}

Williams, Lauren ^{[5
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA USA

[2] Univ Penn, Dept Math, Philadelphia, PA 19104 USA

[3] Univ Waterloo, Dept Combinator & Optimizat, Waterloo, ON, Canada

[4] Wake Forest Univ, Dept Math, Winston Salem, NC 27101 USA

[5] Harvard Univ, Dept Math, Cambridge, MA 02138 USA

来源：

SELECTA MATHEMATICA-NEW SERIES | 2022年 / 28卷 / 02期

基金：

瑞典研究理事会; 美国国家科学基金会;

关键词：

05E05; 33D52; COMBINATORIAL FORMULA;

D O I：

10.1007/s00029-021-00721-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：33

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