On the super Jordan plane
Abstract
In this paper, we study algebraic properties of the super Jordan plane [Formula: see text] introduced by I. Angiono, I. Heckenberger and the first named author. Concretely we show that [Formula: see text] 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 [Formula: see text].
Fields of Study & Subjects
Advanced Topics in Algebra
Mathematics and Applications
Finite Group Theory Research
Publication details
- Journal / source
- International Journal of Algebra and Computation
- Publisher
- World Scientific Pub Co Pte Ltd
- Pages
- 1–24
- Publication date
- 14 May 2026
- Language
- EN