Combinatorial Formulas for Macdonald and Hall-Littlewood Polynomials
Combinatorial Formulas for Macdonald and Hall-Littlewood Polynomials
A breakthrough in the theory of (type $A$) Macdonald polynomials is due to Haglund, Haiman and Loehr, who exhibited a combinatorial formula for these polynomials in terms of fillings of Young diagrams. Recently, Ram and Yip gave a formula for the Macdonald polynomials of arbitrary type in terms of the …