3 papers
math.RT2026
Classification of Auslander-Gorenstein monomial algebras: The acyclic case
Viktória Klász, Markus Kleinau, René Marczinzik
We give a linear algebraic classification of Auslander regular acyclic monomial algebras via the Bruhat factorisation of the Coxeter matrix. Namely, we show under mild assumptions…
math.RT2026
Cambrian lattices are fractionally Calabi-Yau via 2-cluster combinatorics
Markus Kleinau
Reading constructed a Cambrian lattice for each oriented finite type Coxeter diagram . We show that the derived category of representations of is fractionally Calabi…
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…