4 papers
Positivity for a -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 and a Demazure atom expands positively in terms of Demazure atoms, and i…
Combinatorial formulas for Macdonald polynomials by superizations
Emma Yu Jin, Xiaowei Lin
In this paper, we derive new combinatorial formulas for symmetric Macdonald polynomials and non-symmetric Macdonald polynomials , in terms of several new s…
Monomial expansions of modified Macdonald polynomials
Emma Yu Jin, Xiaowei Lin
We discover a family of statistics on fillings of any given Young diagram and prove new combinatorial formulas for modified Macdonald polynomials, that is, $$\widetilde{H}_λ(X;…
Modified Macdonald polynomials and mu-Mahonian statistics
Emma Yu Jin, Xiaowei Lin
The Haglund--Haiman--Loehr theorem provides the following combinatorial formula for the modified Macdonald polynomials: $$\tilde{H}_μ(X;q,t)=\sum_{σ: μ\rightarrow \mathbb{P}}x^σt^{…