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A family of algebras with trivial ozone group
[Submitted on 10 Dec 2025 (v1), last revised 12 Jun 2026 (this v · 2026-06-15 · via math updates on arXiv.org

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Abstract:We study a family of Calabi--Yau algebras that include the quadratic Artin--Schelter regular algebras associated to a nodal cubic. It is shown that these algebras have trivial ozone group, that is, the identity is the only automorphism that fixes the center pointwise. The graded members of this family of algebras are shown to be rigid in the sense that the invaraint ring under a nontrivial group of graded automorphisms is not Artin--Schelter regular.

Submission history

From: Jason Gaddis [view email]
[v1] Wed, 10 Dec 2025 15:49:51 UTC (18 KB)
[v2] Fri, 12 Jun 2026 16:44:06 UTC (18 KB)