Pointed Hopf actions on quantum generalized Weyl algebras
Rings and Algebras
2022-07-26 v2 Quantum Algebra
Abstract
We study actions of pointed Hopf algebras in the -graded setting. Our main result classifies inner-faithful actions of generalized Taft algebras on quantum generalized Weyl algebras which respect the -grading. We also show that generically the invariant rings of Taft actions on quantum generalized Weyl algebras are commutative Kleinian singularities.
Cite
@article{arxiv.2102.00320,
title = {Pointed Hopf actions on quantum generalized Weyl algebras},
author = {Jason Gaddis and Robert Won},
journal= {arXiv preprint arXiv:2102.00320},
year = {2022}
}
Comments
Main theorems restated to better illustrate primary findings. To appear in Journal of Algebra