Locally finite simple weight modules over twisted generalized Weyl algebras

@inproceedings{Hartwig2006LocallyFS,
  title={Locally finite simple weight modules over twisted generalized Weyl algebras},
  author={Jonas Torbj{\"o}rn Hartwig},
  year={2006}
}
  • Jonas Torbjörn Hartwig
  • Published 2006
  • Mathematics
  • 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. 

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