On the category $\mathcal{O}$ for generalized Weyl algebras

Ruben Mamani Velasco, Akaki Tikaradze

Let $H(R,\ddot{I}•,z)$ be a generalized Weyl algebra associated with a ring $R$, its central element $z\in Z(R)$ and an automorphism $\ddot{I}•,$ such that for some $l\ge 1$, $\ddot{I}{•}^l(z)-z$ is…