2 citations · 2 across the 6 of their papers we have counts for
6 papers
A new characterisation of Auslander-Gorenstein algebras
Viktória Klász, Markus Kleinau, Rene Marczinzik +1
We give a new characterisation of Auslander-Gorenstein finite dimensional algebras by showing that they are exactly the finite dimensional algebras with a well-defined Auslander-Re…
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…
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…
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…
Scalar extensions of quiver representations over
Markus Kleinau
Let and be quiver representations over and let be a field. The scalar extensions and are quiver representations over with a distinguished…
The Aizenbud-Lapid binary operation for symmetrizable Cartan types
Markus Kleinau
Aizenbud and Lapid recently introduced a binary operation on the crystal graph associated to a symmetric Cartan matrix. We extend their construction to symmetrizable C…