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Twists of twisted generalized Weyl algebras

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arxiv 2406.04172 v1 pith:VFGKT5A7 submitted 2024-06-06 math.RA math.QA

Jason Gaddis , Daniele Rosso This is my paper · ORCID
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abstract

We study graded twisted tensor products and graded twists of twisted generalized Weyl algebras (TGWAs). We show that the class of TGWAs is closed under these operations assuming mild hypotheses. We generalize a result on cocycle equivalence amongst multiparameter quantized Weyl algebras to the setting of TGWAs. As another application we prove that certain TGWAs of type $A_2$ are noetherian.

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  1. Higher rank Bell--Rogalski algebras

    math.RA 2025-06 conditional novelty 7.0 of 10

    Rank-n Bell and Rogalski algebras are defined; they generalize twisted generalized Weyl algebras of type (A1)^n, and their simple weight modules on torsion-free orbits are classified.

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