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Compact formulas for Macdonald polynomials and quasisymmetric Macdonald polynomials

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.

preprint2020arXivOpen access
Sylvie CorteelJim HaglundOlya MandelshtamSarah MasonLauren Williams
math.CO
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Open access5 authors1 topic
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Sylvie CorteelJim HaglundOlya MandelshtamSarah MasonLauren Williams

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