23 citations · 177 across the 41 of their papers we have counts for
6 papers · 1 filter
A family of algebras with trivial ozone group
Jason Gaddis, Daniel Yee
We study a family of Calabi--Yau algebras that include the quadratic Artin--Schelter regular algebras associated to a nodal cubic. It is shown that these algebras have trivial ozon…
Quiver down-up algebras of type A
Jason Gaddis, Dennis Keeler
We present a generalization of down-up algebras, originally defined by Benkart and Roby. These quiver down-up algebras arise as quotients of the double of the extended Dynkin quive…
Dimension two twisted graded Calabi--Yau algebras on two-vertex quivers
Jason Gaddis, Daryl Zazycki
We classify, up to isomorphism, twisted graded Calabi--Yau algebras of dimension two on two-vertex quivers. By work of Reyes and Rogalski, such algebras may be presented as quotien…
Log-ozone groups and centers of polynomial Poisson algebras
Kenneth Chan, Jason Gaddis, Robert Won +1
In previous work, the authors introduced the ozone group of an associative algebra as the subgroup of automorphisms which fix the center pointwise. The authors studied PI skew poly…
Higher rank Bell--Rogalski algebras
Jason Gaddis, Daniele Rosso, Robert Won
We generalize a construction of Bell and Rogalski to realize new examples of -graded simple rings. This construction also generalizes TGWAs of type . In addi…
Hopf actions on Poisson algebras
Awn Alqahtani, Jason Gaddis, Xingting Wang
We study finite-dimensional Hopf actions on Poisson algebras and explore the phenomenon of quantum rigidity in this context. Our main focus is on filtered (and especially quadratic…