4 papers · 1 filter
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…
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…
Maximal almost rigid modules over gentle algebras
Emily Barnard, Raquel Coelho Simoes, Emily Gunawan +1
We study maximal almost rigid modules over a gentle algebra . We prove that the number of indecomposable direct summands of every maximal almost rigid -module is equal to the…
Knot theory and cluster algebras
Véronique Bazier-Matte, Ralf Schiffler
We establish a connection between knot theory and cluster algebras via representation theory. To every knot diagram (or link diagram), we associate a cluster algebra by constructin…