2 citations · 3 across the 6 of their papers we have counts for
12 papers
Semi-Invariant Rings: UFD and Codimension One Orbits
Charles Paquette, Deepanshu Prasad, David Wehlau
Let be a finite dimensional associative -algebra over an algebraically closed field of characteristic zero. To , we can associate its basic form tha…
Representations of free products of semisimple algebras via quivers
Andrew Buchanan, Ivan Dimitrov, Olivia Grace +3
Let denote an algebraically closed field and a free product of finitely many semisimple associative -algebras. We associate to a finite acyclic qui…
Minimal (-)tilting infinite algebras
Kaveh Mousavand, Charles Paquette
Motivated by a new conjecture on the behavior of bricks, we start a systematic study of minimal -tilting infinite algebras. In particular, we treat minimal -tilting infinite…
Subregular -rings of Coxeter systems via quiver path algebras
Ivan Dimitrov, Charles Paquette, David Wehlau +1
We study the subregular -ring of a Coxeter system , a subring of Lusztig's -ring. We prove that is isomorphic to a quotient of the path algebra of the doub…
Completions of discrete cluster categories of type
Charles Paquette, Emine Yildirim
We complete the discrete cluster categories of type as defined by Igusa and Todorov, by embedding such a discrete cluster category inside a larger one, and then taking…
Idempotent reduction for the finitistic dimension conjecture
Diego Bravo, Charles Paquette
In this note, we prove that if is an Artin algebra with a simple module of finite projective dimension, then the finiteness of the finitistic dimension of implies that…