Tiered trees and Theta operators - CNRS - Centre national de la recherche scientifique Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2022

Tiered trees and Theta operators

Résumé

In [Dugan-Glennon-Gunnells-Steingrimsson-2019], the authors introduce tiered trees to define combinatorial objects counting absolutely indecomposable representations of certain quivers, and torus orbits on certain homogeneous varieties. In this paper, we use Theta operators, introduced in [D'Adderio-Iraci-VandenWyngaerd-Theta-2021], to give a symmetric function formula that enumerates these trees. We then formulate a general conjecture that extends this result, a special case of which might give some insight about how to formulate a unified Delta conjecture [Haglund-Remmel-Wilson-2018].

Dates et versions

hal-03869254 , version 1 (24-11-2022)

Identifiants

Citer

Michele d'Adderio, Alessandro Iraci, Yvan Le Borgne, Marino Romero, Anna Vanden Wyngaerd. Tiered trees and Theta operators. 2022. ⟨hal-03869254⟩

Collections

CNRS INSMI ANR
11 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More