36 citations · 164 across the 59 of their papers we have counts for
3 papers · 1 filter
Some new applications of the Stanley-Macdonald Pieri Rules
A. M. Garsia, J. Haglund, G. Xin +1
In a seminal paper Richard Stanley derived Pieri rules for the Jack symmetric function basis. These rules were extended by Macdonald to his now famous symmetric function basis. The…
Some remarkable new Plethystic Operators in the Theory of Macdonald Polynomials
Francois Bergeron, Adriano Garsia, Emily Leven +1
In the 90's a collection of Plethystic operators were introduced in [3], [7] and [8] to solve some Representation Theoretical problems arising from the Theory of Macdonald polynomi…
Compositional (km,kn)-Shuffle Conjectures
Francois Bergeron, Adriano Garsia, Emily Leven +1
In 2008, Haglund, Morse and Zabrocki formulated a Compositional form of the Shuffle Conjecture of Haglund et al. In very recent work, Gorsky and Negut by combining their discoverie…