5 citations · 9 across the 14 of their papers we have counts for
6 papers · 2 filters
Charmed roots and the Kroweras complement
Benjamin Dequêne, Gabriel Frieden, Alessandro Iraci +3
Although both noncrossing partitions and nonnesting partitions are uniformly enumerated for Weyl groups, the exact relationship between these two sets of combinatorial objects rema…
Some consequences of the valley Delta conjectures
Michele D'Adderio, Alessandro Iraci
In (Haglund, Remmel, Wilson 2018) Haglund, Remmel and Wilson introduced their Delta conjectures, which give two different combinatorial interpretations of the symmetric function $Δ…
Rectangular analogues of the square paths conjecture and the univariate Delta conjecture
Alessandro Iraci, Roberto Pagaria, Giovanni Paolini +1
In this paper, we extend the rectangular side of the shuffle conjecture by stating a rectangular analogue of the square paths conjecture. In addition, we describe a set of combinat…
Delta and Theta Operator Expansions
Alessandro Iraci, Marino Romero
We give an elementary symmetric function expansion for and when in terms of what we call -parking functions and lattice $…
Tiered trees and Theta operators
Michele D'Adderio, Alessandro Iraci, Yvan LeBorgne +2
In [Dugan-Glennon-Gunnells-Steingrimsson-2019], the authors introduce tiered trees to define combinatorial objects counting absolutely indecomposable representations of certain qui…
A proof of the fermionic Theta coinvariant conjecture
Alessandro Iraci, Brendon Rhoades, Marino Romero
Let be a list of commuting variables, be a list of anticommuting variables, and $\mathbb{C}[X_n,…