23 citations · 177 across the 41 of their papers we have counts for
4 papers · 1 filter
Fixed rings of quantum generalized Weyl algebras
Jason Gaddis, Phuong Ho
Generalized Weyl Algebras (GWAs) appear in diverse areas of mathematics including mathematical physics, noncommutative algebra, and representation theory. We study the invariants o…
Actions of quantum linear spaces on quantum algebras
Zachary Cline, Jason Gaddis
We study actions of bosonizations of quantum linear spaces on quantum algebras. Under mild conditions, we classify actions on quantum affine spaces and quantum matrix algebras. In…
Simple -graded domains of Gelfand-Kirillov dimension two
Luigi Ferraro, Jason Gaddis, Robert Won
Let be an algebraically closed field and a -graded finitely generated simple -algebra which is a domain of Gelfand-Kirillov dimension 2. We show that the cat…
The Zariski cancellation problem for Poisson algebras
Jason Gaddis, Xingting Wang
We study the Zariski cancellation problem for Poisson algebras asking whether implies when and are Poisson algebras. We resolve this affirmative…