62 citations · 144 across the 18 of their papers we have counts for
14 papers · 1 filter
Generalized Rank via Minimal Subposet
Thomas Brüstle, Justin Desrochers, Samuel Leblanc
Let be a small, connected category with finite hom-sets. We show that if the embedding of a connected subcategory is both initial and final, then the re…
Decomposing zero-dimensional persistent homology over rooted tree quivers
Riju Bindua, Thomas Brüstle, Luis Scoccola
Given a functor from any category into the category of topological spaces, one obtains a linear representation of the category by post-composing the given functor with a homology f…
Stratifying systems and Jordan-Hölder extriangulated categories
Thomas Brüstle, Souheila Hassoun, Amit Shah +1
Stratifying systems, which have been defined for module, triangulated and exact categories previously, were developed to produce examples of standardly stratified algebras. A strat…
Double framed moduli spaces of quiver representations
Marco Armenta, Thomas Brüstle, Souheila Hassoun +1
Motivated by problems in the neural networks setting, we study moduli spaces of double framed quiver representations and give both a linear algebra description and a representation…
Reduction of exact structures
Thomas Brüstle, Souheila Hassoun, Denis Langford +1
Examples of exact categories in representation theory are given by the category of Delta-filtered modules over quasi-hereditary algebras, but also by various categories related to…
On the combinatorics of gentle algebras
Thomas Brüstle, Guillaume Douville, Kaveh Mousavand +2
For a gentle algebra, and and string modules, we construct a combinatorial basis for Hom(). We use this to describe support -tilting modules for . We give a…