On the super Jordan plane
Abstract
We study algebraic properties of the super Jordan plane~ B introduced by I. Angiono, I. Heckenberger and the first named author. Concretely we show that 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 B.
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