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arXiv · 1910.06847

Fixed rings of quantum generalized Weyl algebras

Jason Gaddis·Phuong Ho
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Abstract

Generalized Weyl Algebras (GWAs) appear in diverse areas of mathematics including mathematical physics, noncommutative algebra, and representation theory. We study the invariants of quantum GWAs under finite automorphisms. We extend a theorem of Jordan and Wells and apply it to determine the fixed ring of quantum GWAs under diagonal automorphisms. We further study properties of the fixed rings, including global dimension, rigidity, and simplicity.

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Jason Gaddis, Phuong Ho. 2020-04-09. Fixed rings of quantum generalized Weyl algebras. https://doi.org/10.1080/00927872.2020.1755302

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