Reflexive hull discriminants and applications

Abstract

We introduce the reflexive hull discriminant as a tool to study noncommutative algebras that are finitely generated, but not necessarily free, over their centers. As an example, we compute the reflexive hull discriminants for quantum generalized Weyl algebras and use them to determine automorphism groups and other properties, recovering results of Su{á}rez-Alvarez, Vivas, and others.

arXiv comment30 pages, to appear in Selecta Mathematica

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• Automorphisms and isomorphism of quantum generalized Weyl algebras
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Cited by in corpus (2)

• Growth of generalized Weyl algebras over polynomial algebras and Laurent polynomial algebras
• Pointed Hopf actions on quantum generalized Weyl algebras