On the super Jordan plane
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866914017171210240 |
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| author | Andruskiewitsch, Nicolás Dumas, François |
| author_facet | Andruskiewitsch, Nicolás Dumas, François |
| contents | 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 $\mathcal B$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_01918 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the super Jordan plane Andruskiewitsch, Nicolás Dumas, François Rings and Algebras 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 $\mathcal B$. |
| title | On the super Jordan plane |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2509.01918 |