5 citations · 9 across the 7 of their papers we have counts for
8 papers · 1 filter
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…
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…
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…