74 citations · 211 across the 39 of their papers we have counts for
49 papers
Examples of geodesic ghor algebras on hyperbolic surfaces
Karin Baur, Charlie Beil
Cancellative dimer algebras on a torus have many nice algebraic and homological properties. However, these nice properties disappear for dimer algebras on higher genus surfaces. We…
Frieze patterns of integers
Karin Baur
The famous theorem of Conway and Coxeter on frieze patterns gave a geometric interpretation to integral friezes via triangulations of polygons. In this article, we review this resu…
A generalization of cancellative dimer algebras to hyperbolic surfaces
Karin Baur, Charlie Beil
We study a new class of quiver algebras on surfaces, called 'geodesic ghor algebras'. These algebras generalize cancellative dimer algebras on a torus to higher genus surfaces, whe…
Real roots in the root system
Karin Baur, Jian-Rong Li, Andrei Smolensky
Motivated by the recent advances in the categorification of the cluster structure on the coordinate rings of Grassmannians of -subspaces in -space, we investigate a particula…
Cluster algebras generated by projective cluster variables
Karin Baur, Alireza Nasr-Isfahani
We introduce the notion of a lower bound cluster algebra generated by projective cluster variables as a polynomial ring over the initial cluster variables and the so-called project…
Construction of Rank Indecomposable Modules in Grassmannian Cluster Categories
Karin Baur, Dusko Bogdanic, Jian-Rong Li
The category of Cohen-Macaulay modules over a quotient of a preprojective algebra provides a categorification of the cluster algebra structure on the…