17 citations · 19 across the 4 of their papers we have counts for
33 papers
A category of wide subcategories
Aslak Bakke Buan, Bethany Marsh
An algebra is said to be \emph{-tilting finite} provided it has only a finite number of -rigid objects up to isomorphism. We associate a category to each such algebra. The ob…
-exceptional sequences
Aslak Bakke Buan, Bethany Marsh
We introduce the notions of -exceptional and signed -exceptional sequences for any finite dimensional algebra. We prove that for a fixed algebra of rank , and for any posi…
Rigid and Schurian modules over cluster-tilted algebras of tame type
Bethany Marsh, Idun Reiten
We give an example of a cluster-tilted algebra A with quiver Q, such that the associated cluster algebra has a denominator vector which is not the dimension vector of any indecompo…
Braid groups and quiver mutation
Joseph Grant, Bethany Marsh
We describe presentations of braid groups of type ADE and show how these presentations are compatible with mutation of quivers, building on work of Barot and Marsh for Coxeter grou…
Nearly Morita equivalences and rigid objects
Bethany Marsh, Yann Palu
If two cluster-tilting objects of an acyclic cluster category are related by a mutation, then their endomorphism algebras are nearly-Morita equivalent [Buan-Marsh-Reiten], i.e. the…
Twists of Plücker coordinates as dimer partition functions
Bethany Marsh, Jeanne Scott
The homogeneous coordinate ring of the Grassmannian Gr(k,n) has a cluster structure defined in terms of planar diagrams known as Postnikov diagrams. The cluster corresponding to su…