Locally finite simple weight modules over twisted generalized Weyl algebras
arXiv:math/0502352 · doi:10.1016/j.jalgebra.2006.05.036
Abstract
We present methods and explicit formulas for describing simple weight modules over twisted generalized Weyl algebras. When a certain commutative subalgebra is finitely generated over an algebraically closed field we obtain a classification of a class of locally finite simple weight modules as those induced from simple modules over a subalgebra isomorphic to a tensor product of noncommutative tori. As an application we describe simple weight modules over the quantized Weyl algebra.
28 pages