Charles Paquette

activity

20112023

most citedCompletions of discrete cluster categories of type

A

5 citations · 17 across the 14 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.RT2017

Generators versus projective generators in abelian categories

Charles Paquette

Let $A$ be an essentially small abelian category. We prove that if $A$ admits a generator $M$ with $End_{A} (M)$ right artinian, then $\mathcal{A…

math.RT2017

Homological behavior of idempotent subalgebras and Ext algebras

Colin Ingalls, Charles Paquette

Let $A$ be a (left and right) Noetherian ring that is semiperfect. Let $e$ be an idempotent of $A$ and consider the ring $Γ := (1 - e) A (1 - e)$ and the semi-simple right $A$ -module $S_e…

math.RT2017

Group actions on cluster algebras and cluster categories

Charles Paquette, Ralf Schiffler

We introduce admissible group actions on cluster algebras, cluster categories and quivers with potential and study the resulting orbit spaces. The orbit space of the cluster algebr…