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arXiv · 2509.01918

On the super Jordan plane

Nicolás Andruskiewitsch·François Dumas
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Abstract

We study algebraic properties of the super Jordan plane~$\mathcal B$ introduced by I. Angiono, I. Heckenberger and the first named author. Concretely we show that $\mathcal B$ is super-prime and has a super-simple super-artinian ring of fractions. We also compute the groups of superalgebra and braided Hopf algebra automorphisms. Instrumental for our approach is the embedding of the Jordan plane as a subalgebra of $\mathcal B$.

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Nicolás Andruskiewitsch, François Dumas. 2025-09-02. On the super Jordan plane. https://arxiv.org/abs/2509.01918

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