Fixed rings of quantum generalized Weyl algebras |
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Authors: | Jason Gaddis Phuong Ho |
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Affiliation: | 1. Department of Mathematics, Miami University, Oxford, OH, USAgaddisj@miamioh.edu;3. Department of Mathematics, Miami University, Oxford, OH, USA |
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Abstract: | AbstractGeneralized 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 order 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, the Calabi–Yau property, rigidity, and simplicity. |
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Keywords: | Fixed rings quantum generalized Weyl algebras global dimension |
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