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20132021
most citedA geometric realization of tame categories

3 citations · 6 across the 5 of their papers we have counts for

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math.RT2020

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…

math.RT20192 cited

Classification of cosilting modules in type

Karin Baur, Rosanna Laking

Torsion pairs in the category of finitely presented modules over a noetherian ring can be parametrised by the class of cosilting modules. In this paper, we characterise such module…

math.RT2019

Higher extensions for gentle algebras

Karin Baur, Sibylle Schroll

In this paper we determine extensions of higher degree between indecomposable modules over gentle algebras. In particular, our results show how such extensions either eventually va…

math.RT2018

Cluster categories from Grassmannians and root combinatorics

Karin Baur, Dusko Bogdanic, Ana Garcia Elsener

The category of Cohen-Macaulay modules of an algebra is used [JKS16] to give an additive categorification of the cluster algebra structure on the homogeneous coordinate r…

math.RT2018

A geometric model for the module category of a gentle algebra

Karin Baur, Raquel Coelho Simoes

In this article, gentle algebras are realised as tiling algebras, which are associated to partial triangulations of unpunctured surfaces with marked points on the boundary. This no…

math.RT20153 cited

A geometric realization of tame categories

Karin Baur, Hermund André Torkildsen

We give a geometric realization of module categories of type . We work with oriented arcs to define a translation quiver isomorphic to the Auslander-Reiten quiver of t…