43 citations · 116 across the 48 of their papers we have counts for
7 papers · 1 filter
On band modules and -tilting finiteness
Sibylle Schroll, Hipolito Treffinger, Yadira Valdivieso
In this paper, motivated by a -tilting version of the Brauer-Thrall Conjectures, we study general properties of band modules and their endomorphisms in the module category of a…
Dessins d'enfants and Brauer configuration algebras
Goran Malić, Sibylle Schroll
In this paper we associate to a dessin d'enfant an associative algebra, called a Brauer configuration algebra. This is an algebra given by quiver and relations induced by the monod…
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…
A complete derived invariant for gentle algebras via winding numbers and Arf invariants
Claire Amiot, Pierre-Guy Plamondon, Sibylle Schroll
Gentle algebras are in bijection with admissible dissections of marked oriented surfaces. In this paper, we further study the properties of admissible dissections and we show that…
The first Hochschild (co)homology when adding arrows to a bound quiver algebra
Claude Cibils, Marcelo Lanzilotta, Eduardo N. Marcos +2
We provide a formula for the change of the dimension of the first Hoch\-schild cohomology vector space of bound quiver algebras when adding new arrows. For this purpose we show tha…
The first Hochschild cohomology as a Lie algebra
Lleonard Rubio y Degrassi, Sibylle Schroll, Andrea Solotar
In this paper we study sufficient conditions for the solvability of the first Hochschild cohomology of a finite dimensional algebra as a Lie algebra in terms of its Ext-quiver in a…