Fixed rings of twisted generalized Weyl algebras (Q2104887)

Twisted generalized Weyl algebras (TGWAs for short) form a class of interesting quantum algebras that includes generalized Weyl algebras, as well as quantized Weyl algebras. The paper under review is concerned with the study of fixed rings of TGWAs under diagonal automorphisms of finite order. One of the main results of the paper states that under certain condition the fixed ring of a twisted generalized Weyl algebra is again a generalized Weyl algebra. General ring-theoretic properties of such fixed rings (such as Noetherinanness and simplicity) are also investigated.