On derived equivalences for categories of generalized intervals of a finite poset

Frédéric Chapoton (1) , Sefi Ladkani (2) , Baptiste Rognerud (3)

1 IRMA - Institut de Recherche Mathématique Avancée
2 University of Haifa [Haifa]
3 Fakultät für Mathematik = Faculty of Mathematics [Bielefeld]

We study two constructions related to the intervals of finite posets. The first one is a poset. The second one is more complicated. Loosely speaking it can be seen as a poset with some extra zero-relations. As main result, we show that these two constructions are equivalent at the level of derived categories.

Domaines: Combinatoire [math.CO]; Théorie des représentations [math.RT]

Frédéric Chapoton, Sefi Ladkani, Baptiste Rognerud. On derived equivalences for categories of generalized intervals of a finite poset. 2018. ⟨hal-01684494⟩