10 citations · 18 across the 3 of their papers we have counts for
8 papers
Tubular Cluster Algebras II: Exponential growth
Michael Barot, Christof Geiss, Gustavo Jasso
Among the mutation finite cluster algebras the tubular ones are a particularly interesting class. We show that all tubular (simply laced) cluster algebras are of exponential growth…
Reflection group presentations arising from cluster algebras
Michael Barot, Bethany Marsh
We give a presentation of a finite crystallographic reflection group in terms of an arbitrary seed in the corresponding cluster algebra of finite type and interpret the presentatio…
Cluster tilted algebras with a cyclically oriented quiver
Michael Barot, Sonia Trepode
In association with a finite dimensional algebra A of global dimension two, we consider the endomorphism algebra of A, viewed as an object in the triangulated hull of the orbit cat…
Tubular cluster algebras I: categorification
Michael Barot, Christof Geiss
We present a categorification of four mutation finite cluster algebras by the cluster category of the category of coherent sheaves over a weighted projective line of tubular weight…
From iterated tilted algebras to cluster-tilted algebras
Michael Barot, Elsa Fernández, María Inés Platzeck +2
In this paper the relationship between iterated tilted algebras and cluster-tilted algebras and relation-extensions is studied. In the Dynkin case, it is shown that the relationshi…
The cluster category of a canonical algebra
Michael Barot, Dirk Kussin, Helmut Lenzing
We study the cluster category of a canonical algebra A in terms of the hereditary category of coherent sheaves over the corresponding weighted projective line X. As an application…