24 citations · 36 across the 5 of their papers we have counts for
9 papers
Tame algebras have dense -vector fans
Bernhard Keller, Pierre-Guy Plamondon, Toshiya Yurikusa
The -vector fan of a finite-dimensional algebra is a fan whose rays are the -vectors of its -term presilting objects. We prove that the -vect…
Quivers with potentials and actions of finite abelian groups
Simone Giovannini, Andrea Pasquali, Pierre-Guy Plamondon
Let be a finite abelian group acting on a path algebra by permuting the vertices and preserving the arrowspans. Let be a potential on the quiver which is fixed by…
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…
-tilting finite gentle algebras are representation-finite
Pierre-Guy Plamondon
We show that a gentle algebra over a field is -tilting finite if and only if it is representation-finite. The proof relies on the "brick--tilting correspondence" of Demonet-I…
Unistructurality of cluster algebras from surfaces without punctures
Véronique Bazier-Matte, Pierre-Guy Plamondon
A cluster algebra is unistructural if the set of its cluster variables determines its clusters and seeds. It is conjectured that all cluster algebras are unistructural. In this pap…
Derived invariants for surface cut algebras II: the punctured case
Claire Amiot, Daniel Labardini-Fragoso, Pierre-Guy Plamondon
For each algebra of global dimension 2 arising from the quiver with potential associated to a triangulation of an unpunctured surface, Amiot-Grimeland have defined an integer-value…