5 citations · 9 across the 7 of their papers we have counts for
10 papers
Skew-Brauer graph algebras
Ana García Elsener, Victoria Guazzelli, Yadira Valdivieso
In this work, we introduce a new class of algebras called skew-Brauer graph algebras, which generalize the well-known Brauer graph algebras. We establish that skew-Brauer graph alg…
Super Caldero--Chapoton map for type
İlke Çanakçı, Francesca Fedele, Ana Garcia Elsener +1
One can explicitly compute the generators of a surface cluster algebra either combinatorially, through dimer covers of snake graphs, or homologically, through the CC-map applied to…
Friezes for a pair of pants
Ilke Canakci, Anna Felikson, Ana Garcia Elsener +1
Frieze patterns are numerical arrangements that satisfy a local arithmetic rule. These arrangements are actively studied in connection to the theory of cluster algebras. In the set…
Extensions in Jacobian algebras via punctured skein relations
Salomon Dominguez, Ana Garcia Elsener
Given a Jacobian algebra arising from the punctured disk, we show that all non-split extensions can be found using the tagged arcs and skein relations previously developed in clust…
Rigid Indecomposable Modules in Grassmannian Cluster Categories
Karin Baur, Dusko Bogdanic, Ana Garcia Elsener +1
The coordinate ring of the Grassmannian variety of -dimensional subspaces in has a cluster algebra structure with Plücker relations giving rise to exchange relati…
Mutation of type friezes
A. Garcia Elsener, K. Serhiyenko
In this article we study mutation of friezes of type . We provide a combinatorial formula for the entries in a frieze after mutation. The two main ingredients in the proof inclu…
Monomial Gorenstein algebras and the stably Calabi--Yau property
Ana Garcia Elsener
A celebrated result by Keller--Reiten says that -Calabi--Yau tilted algebras are Gorenstein and stably -Calabi--Yau. This note shows that the converse holds in the monomial c…
-cluster tilted algebras of euclidean type
Elsa Fernández, Ana Garcia Elsener, Sonia Trepode
We consider -cluster tilted algebras arising from quivers of Euclidean type and we give necessary and sufficient conditions for those algebras to be representation finite. For t…
Gentle -Calabi-Yau tilted algebras
Ana Garcia Elsener
We prove that all gentle 2-Calabi-Yau tilted algebras (over an algebraically closed field) are Jacobian, moreover their bound quiver can be obtained via block decomposition. Relate…
On syzygies over 2-Calabi-Yau tilted algebras
Ana Garcia Elsener, Ralf Schiffler
We characterize the syzygies and co-syzygies over 2-Calabi-Yau tilted algebras in terms of the Auslander-Reiten translation and the syzygy functor. We explore connections between t…