242 citations · 546 across the 54 of their papers we have counts for
4 papers · 2 filters
Snake graph calculus and cluster algebras from surfaces
Ilke Canakci, Ralf Schiffler
Snake graphs appear naturally in the theory of cluster algebras. For cluster algebras from surfaces, each cluster variable is given by a formula which is parametrized by the perfec…
The first Hochschild cohomology group of a cluster-tilted algebra revisited
Ibrahim Assem, Juan Carlos Bustamante, Kiyoshi Igusa +1
Given a cluster-tilted algebra B we study its first Hochschild cohomology group HH1(B) with coefficients in the B-B-bimodule B. If C is a tilted algebra such that B is the relation…
On the first Hochschild cohomology group of a cluster-tilted algebra
Ibrahim Assem, Maria Redondo, Ralf Schiffler
Given a cluster-tilted algebra B, we study its first Hochschild cohomology group HH^1(B) with coefficients in the B-B-bimodule B. If C is a tilted algebra such that B is the relati…
On a category of cluster algebras
Ibrahim Assem, Grégoire Dupont, Ralf Schiffler
We introduce a category of cluster algebras with fixed initial seeds. This category has countable coproducts, which can be constructed combinatorially, but no products. We characte…