In this paper, we give a geometric construction of string algebras and of their module
categories. Our approach uses dissections of punctured Riemann surfaces with extra data at …

We extend the classification of finitely generated modules and the combinatorial description
of Auslander-Reiten sequences for finite-dimensional string algebras to infinite dimensional …

We study cluster categories arising from marked surfaces (with punctures and non-empty
boundaries). By constructing skewed-gentle algebras, we show that there is a bijection …

We relax the definition of a string algebra to also include infinite-dimensional algebras such
as k [x, y]/(xy). Using the functorial filtration method, which goes back to Gelfand and …

In the context of representation theory of finite dimensional algebras, string algebras have
been extensively studied and most aspects of their representation theory are well …

We discuss a string-net construction on 2-framed surfaces, taking as algebraic input a finite,
rigid tensor category, which is neither assumed to be pivotal nor semi-simple. It is shown that …

The category of modules over a string algebra is equipped with a tensor product defined
point-wise and arrow-wise in terms of the underlying quiver. In the present article we …

We classify the torsion pairs in a tube category and show that they are in bijection with
maximal rigid objects in the extension of the tube category containing the Prüfer and adic …

We study how to read from the ordinary quiver of a representation-finite string algebra, the
minimal lower bound m≥ 1 such that the m th power of the radical of its module category …

We construct an abelian representative for the crossed module associated to the string Lie
algebra. We show how to apply this construction in order to define quasi-invariant tensors …