Markus Kleinau

activity

20232026

most citedScalar extensions of quiver representations over

F_{1}

2 citations · 2 across the 6 of their papers we have counts for

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3 papers · 1 filter

math.RT2026

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…

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 $C_{Γ}$ for each oriented finite type Coxeter diagram $Γ$ . We show that the derived category of representations of $C_{Γ}$ is fractionally Calabi…