4 papers · 1 filter
Actions of Taft Algebras on Noetherian Down-Up Algebras
Simon Crawford, Jason Gaddis, Robert Won
We consider actions of Taft algebras on noetherian graded down-up algebras. We classify all such actions and determine properties of the corresponding invariant rings . We ide…
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…
Three infinite families of reflection Hopf algebras
Luigi Ferraro, Ellen Kirkman, W. Frank Moore +1
Let be a semisimple Hopf algebra acting on an Artin-Schelter regular algebra , homogeneously, inner-faithfully, preserving the grading on , and so that is an -modu…
Fixed rings of generalized Weyl algebras
Jason Gaddis, Robert Won
We study actions by filtered automorphisms on classical generalized Weyl algebras (GWAs). In the case of a defining polynomial of degree two, we prove that the fixed ring under the…