Simple modules of the Witten–Woronowicz algebra

It was proved in [V.V. Bavula, D.A. Jordan, Trans. Amer. Math. Soc. 353 (2) (2001) 769–794] that Wittenʹs second deformation and Woronowiczʹs deformation are isomorphic algebras. For a class of generalized Weyl algebras including the two deformations above, simple modules are being classified (up to irreducible elements of certain noncommutative Euclidean rings).