2 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.RT2026
Magnitude of module categories
Erlend D. Børve, Daniel Horiatakis, Martin Kalck
We define an invariant of the module category of a representation-finite algebra by the magnitude of its Auslander algebra. This invariant will be called the magnitude of the modul…