67 citations · 94 across the 11 of their papers we have counts for
12 papers
Stability Conditions and Maximal Green Sequences in Abelian Categories
Thomas Brüstle, David Smith, Hipolito Treffinger
In this paper we study the stability functions on abelian categories introduced by Rudakov in \cite{Ru} and their relation with torsion classes and maximal green sequences. Moreove…
Wall and Chamber Structure for finite-dimensional Algebras
Thomas Brüstle, David Smith, Hipolito Treffinger
We use -tilting theory to give a description of the wall and chamber structure of a finite dimensional algebra. We also study -generic paths in the wall and chambe…
Stability conditions, -tilting Theory and Maximal Green Sequences
Thomas Brüstle, David Smith, Hipolito Treffinger
Extending the notion of maximal green sequences to an abelian category, we characterize the stability functions, as defined by Rudakov, that induce a maximal green sequence in an a…
Representation theory of partial relation extensions
Ibrahim Assem, Juan Carlos Bustamante, Julie Dionne +2
Let C be a finite dimensional algebra of global dimension at most two. A partial relation extension is any trivial extension of C by a direct summand of its relation C-C-bimodule.…
Filtering subcategories of modules of an artinian algebra
François Huard, Marcelo Lanzilotta, David Smith
Let be an artinian algebra, and let be a subcategory of mod that is closed under extensions. When is closed under kernels of epimorphisms (or clo…
Friezes, Strings and Cluster Variables
Ibrahim Assem, Grégoire Dupont, Ralf Schiffler +1
To any walk in a quiver, we associate a Laurent polynomial. When the walk is the string of a string module over a 2-Calabi-Yau tilted algebra, we prove that this Laurent polynomial…