Fixed rings of quantum generalized Weyl algebras
Rings and Algebras
2020-12-17 v2 Quantum Algebra
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.
Keywords
Cite
@article{arxiv.1910.06847,
title = {Fixed rings of quantum generalized Weyl algebras},
author = {Jason Gaddis and Phuong Ho},
journal= {arXiv preprint arXiv:1910.06847},
year = {2020}
}
Comments
Minor revisions throughout