5 papers
Stability spaces of string and band modules
Sibylle Schroll, Aran Tattar, Hipolito Treffinger +2
The stability space of a module is the cone of vectors which make the module semistable. These cones are defined in terms of inequalities; in this paper we draw insights from consi…
Characterisations of trivial extensions
Elsa Fernandez, Sibylle Schroll, Hipolito Treffinger +2
In this paper we give a characterisation of trivial extension algebras in terms of quivers with relations. This result is based on a explicit description of the ideal of relations…
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…
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…
From the potential to the first Hochschild cohomology group of a cluster tilted algebra
Ibrahim Assem, Juan Carlos Bustamante, Sonia Trepode +1
The objective of this paper is to give a concrete interpretation of the dimension of the first Hochschild cohomology space of a cyclically oriented or tame cluster tilted algebra i…