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arXiv · 2410.08959

Some Artin-Schelter Regular Algebras From Dual Reflection Groups and their Geometry

Peter Goetz·Ellen E. Kirkman·W. Frank Moore·Kent B. Vashaw
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Abstract

Let $G$ be a group coacting on an Artin-Schelter regular algebra $A$ homogeneously and inner-faithfully. When the identity component $A_e$ is also Artin-Schelter regular, providing a generalization of the Shephard-Todd-Chevalley Theorem, we say that $G$ is a dual reflection group for $A$. We give two examples of dual reflection groups of order 16, and study algebraic and geometric properties of three associated Artin-Schelter regular algebras of dimension four.

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Peter Goetz, Ellen E. Kirkman, W. Frank Moore, Kent B. Vashaw. 2024-10-11. Some Artin-Schelter Regular Algebras From Dual Reflection Groups and their Geometry. https://arxiv.org/abs/2410.08959

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