74 citations · 139 across the 7 of their papers we have counts for
7 papers
Reduction of Frobenius extriangulated categories
Eleonore Faber, Bethany Rose Marsh, Matthew Pressland
We describe a reduction technique for stably 2-Calabi--Yau Frobenius extriangulated categories with respect to a functorially finite rigid subcategory .…
Mutating signed -exceptional sequences
Aslak Bakke Buan, Bethany Rose Marsh
We establish some properties of -exceptional sequences for finite-dimensional algebras. In an earlier paper we established a bijection between the set of ordered support -til…
Dimer models and cluster categories of Grassmannians
Karin Baur, Alastair King, Bethany Marsh
We associate a dimer algebra A to a Postnikov diagram D (in a disk) corresponding to a cluster of minors in the cluster structure of the Grassmannian Gr(k,n). We show that A is iso…
From triangulated categories to module categories via localisation II: Calculus of fractions
Aslak Bakke Buan, Bethany Marsh
We show that the quotient of a Hom-finite triangulated category C by the kernel of the functor Hom(T, -), where T is a rigid object, is preabelian. We further show that the class o…
Denominators of cluster variables
Aslak Bakke Buan, Bethany Marsh, Idun Reiten
Associated to any acyclic cluster algebra is a corresponding triangulated category known as the cluster category. It is known that there is a one-to-one correspondence between clus…
A geometric description of -cluster categories
Karin Baur, Bethany Marsh
We show that the -cluster category of type is equivalent to a certain geometrically-defined category of diagonals of a regular -gon. This generalises a result of…
A multiplicative property of quantum flag minors II
Philippe Caldero, Bethany Marsh
Let U^+ be the plus part of the quantized enveloping algebra of a simple Lie algebra and let B^* be the dual canonical basis of U^+. Let b,b' be in B* and suppose that one of the t…