3 papers
math.CO2026
Counting Boolean Antichains
Julien Garber, Lina S. Goltermann, Daniel Horiatakis +2
We say that an antichain in a lattice is Boolean if it generates a Boolean sublattice in in a particularly nice way. These purely combinatorial objects play a role in the r…
math.RT2025
Pure minimal injective resolutions and perfect modules for lattices
Tal Gottesman, Viktória Klász, Markus Kleinau +1
In a recent article, Iyama and Marczinzik showed that a lattice is distributive if and only if the incidence algebra is Auslander regular, giving a new connection between homologic…
math.RT2024
Fractionally Calabi-Yau lattices that tilt to higher Auslander algebras of type A
Tal Gottesman
We prove that the bounded derived category of the lattice of order ideals of the product of two ordered chains is fractionally Calabi-Yau. We also show that these lattices are deri…