Xiaowei Lin

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20242026

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math.CO2026

Positivity for a $t$ -analogue of refined Littlewood-Richardson rules

Jiaming Du, Emma Yu Jin, Xiaowei Lin

In 2010, Haglund, Luoto, Mason and van Willigenburg proved that the product of a Schur function $s_{λ}$ and a Demazure atom $A_{γ}$ expands positively in terms of Demazure atoms, and i…

math.CO2026

Combinatorial formulas for Macdonald polynomials by superizations

Emma Yu Jin, Xiaowei Lin

In this paper, we derive new combinatorial formulas for symmetric Macdonald polynomials $P_{λ} (X; q, t)$ and non-symmetric Macdonald polynomials $E_{γ} (X; q, t)$ , in terms of several new s…

Positivity for a t-analogue of refined Littlewood-Richardson rules

Combinatorial formulas for Macdonald polynomials by superizations

Positivity for a $t$ -analogue of refined Littlewood-Richardson rules