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math.RT2023
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…
math.RT2022
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…
math.RT2021
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…