Weight modules over Bell--Rogalski algebras
arXiv:2204.04307 · doi:10.1016/j.jalgebra.2023.06.017
Abstract
We study a class of -graded algebras introduced by Bell and Rogalski. Their construction generalizes in large part that of rank one generalized Weyl algebras (GWAs). We establish certain ring-theoretic properties of these algebras and study their connection to GWAs. We classify the simple weight modules in the infinite orbit case and provide a partial classification in the case of orbits of finite order.
Theorem 2.20 removed. To appear in Journal of Algebra