Pierre-Guy Plamondon

activity

20092026

most citedCluster algebras via cluster categories with infinite-dimensional morphism spaces

101 citations · 283 across the 24 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.RT2019★ 1 cited

Quivers with potentials and actions of finite abelian groups

Simone Giovannini, Andrea Pasquali, Pierre-Guy Plamondon

Let $G$ be a finite abelian group acting on a path algebra $k Q$ by permuting the vertices and preserving the arrowspans. Let $W$ be a potential on the quiver $Q$ which is fixed by…

math.RT2019★ 17 cited

Associahedra for finite type cluster algebras and minimal relations between $g$ -vectors

Arnau Padrol, Yann Palu, Vincent Pilaud +1

We show that the mesh mutations are the minimal relations among the $g$ -vectors with respect to any initial seed in any finite type cluster algebra. We then use this a…

math.RT2019★ 3 cited

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…

Quivers with potentials and actions of finite abelian groups

Associahedra for finite type cluster algebras and minimal relations between g-vectors

A complete derived invariant for gentle algebras via winding numbers and Arf invariants

Associahedra for finite type cluster algebras and minimal relations between $g$ -vectors