3 papers
math.RT2026
On syzygy categories over Iwanaga-Gorenstein algebras: Reduction, minimality and finiteness
Ralf Schiffler, Khrystyna Serhiyenko
We study 2-Calabi-Yau tilted algebras which are non-commutative Iwanaga-Gorenstein algebras of Gorenstein dimension 1. In particular, we are interested in their syzygy categories o…
math.CO2025
Higher Dimer Covers on Snake Graphs
Gregg Musiker, Nicholas Ovenhouse, Ralf Schiffler +1
Snake graphs are a class of planar graphs that are important in the theory of cluster algebras. Indeed, the Laurent expansions of the cluster variables in cluster algebras from sur…
math.RT2024
An exact structure approach to almost rigid modules over quivers of type
Thomas Brüstle, Eric J. Hanson, Sunny Roy +1
Let be the path algebra of a quiver of Dynkin type . The module category has a combinatorial model as the category of diagonals in a polygon w…