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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 2020 · math.RTShow all

6 papers · 2 filters

math.RT2020

A geometric realization of silting theory for gentle algebras

Wen Chang, Sibylle Schroll

A gentle algebra gives rise to a dissection of an oriented marked surface with boundary into polygons and the bounded derived category of the gentle algebra has a geometric interpr…

math.RT2020

Categories for Grassmannian cluster algebras of infinite rank

Jenny August, Man-Wai Cheung, Eleonore Faber +2

We construct Grassmannian categories of infinite rank, providing an infinite analogue of the Grassmannian cluster categories introduced by Jensen, King, and Su. Each Grassmannian c…

math.RT2020

Derived categories of skew-gentle algebras and orbifolds

Daniel Labardini-Fragoso, Sibylle Schroll, Yadira Valdivieso

Skew-gentle algebras are a generalisation of the well-known class of gentle algebras with which they share many common properties. In this work, using non-commutative Gröbner basis…

math.RT2020★ 1 cited

A -tilting approach to the first Brauer-Thrall conjecture

Sibylle Schroll, Hipolito Treffinger

In this paper we study the behaviour of modules over finite dimensional algebras whose endomorphism algebra is a division ring. We show that there are finitely many such modules in…

math.RT2020

Skew-gentle algebras and orbifolds: Oberwolfach talk, January 2020

Sibylle Schroll

This is an extended abstract of my talk at the Oberwolfach-Workshop "Representation Theory of Finite-Dimensional Algebras" (19-24 January 2020). It introduces a geometric orbifold…

math.RT2020

Addendum and Erratum: Mapping cones for morphisms involving a band complex in the bounded derived category of a gentle algebra

Ilke Canakci, David Pauksztello, Sibylle Schroll

In this note we correct two oversights in [Mapping cones in the bounded derived category of a gentle algebra, J. Algebra 530 (2019), 163--194, also arXiv:1609.09688] which only occ…