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20072026
most citedA geometric model for the derived category of gentle algebras

43 citations · 116 across the 48 of their papers we have counts for

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Showing 2019 · math.RTShow all

6 papers · 2 filters

math.RT2019

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…

math.RT2019

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…

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.RT2019★ 3 cited

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…

math.RT2019★ 1 cited

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…

math.RT2019★ 1 cited

Dessins d'enfants, Brauer graph algebras and Galois invariants

Goran Malic, Sibylle Schroll

In this paper, we associate a finite dimensional algebra, called a Brauer graph algebra, to every clean dessin d'enfant by constructing a quiver based on the monodromy of the dessi…