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arxiv: 2506.20393 · v1 · pith:BJUKG7FNnew · submitted 2025-06-25 · 🧮 math.RA · math.RT

Higher rank Bell--Rogalski algebras

Jason Gaddis , Daniele Rosso , Robert Won This is my paper
classification 🧮 math.RA math.RT
keywords algebrasconstructionadditionbasicbellbell--rogalskiclassificationconsidering
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We generalize a construction of Bell and Rogalski to realize new examples of $\mathbb{Z}^n$-graded simple rings. This construction also generalizes TGWAs of type $(A_1)^n$. In addition to considering basic properties of these algebras, we provide a classification of weight modules in the setting of torsion-free orbits, study their (twisted) tensor products, and provide a simplicity criterion.

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  1. Twisted generalized Weyl Poisson algebras of type $(A_1)^n$

    math.RA 2026-06 unverdicted novelty 6.0

    Introduces twisted generalized Weyl Poisson algebras of type (A1)^n, proves existence in two ways, shows closure under tensor products, Poisson twists and invariants, and gives a simplicity criterion.