Cluster algebras constitute a robust framework at the interface of algebra, combinatorics and geometry. Since their introduction, they have provided fertile ground for understanding total positivity, ...

Algebraic representation theory and cluster categories constitute a vibrant research area that bridges abstract algebra, category theory and combinatorics. In this field, algebraic structures are ...

Proceedings of the American Mathematical Society, Vol. 147, No. 7 (JULY 2019), pp. 2775-2782 (8 pages) Let Λ be a cluster-tilted algebra of finite type over an algebraically closed field and let B be ...

In this paper, we describe a general setting for dimer models on cylinders over Dynkin diagrams which in type A reduces to the well-studied case of dimer models on a disc. We prove that all Berenstein ...