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arXiv · 2512.06436

On Christophersen's problem

Roman Stasenko
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Abstract

Let $A$ be a finite-dimensional (Artinian) Gorenstein algebra, and let $\operatorname{Aut}(A)^{\circ}$ denote the connected component of the identity in the automorphism group of $A$. We introduce a new subclass of Gorenstein algebras and prove that for any algebra $A$ in this subclass, the group $\operatorname{Aut}(A)^{\circ}$ is solvable. This result is closely related to the Christophersen problem in the theory of local algebras.

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Roman Stasenko. 2025-12-06. On Christophersen's problem. https://arxiv.org/abs/2512.06436

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