In this paper we consider the super Jordan plane, a braided Hopf algebra introduced--to the best of our knowledge--in [AAH1], and its restricted version in odd characteristic introduced in [AAH2]. We show that their Drinfeld doubles give rise naturally to Hopf superalgebras justifying a posteriori the adjective super given in loc. cit. These Hopf superalgebras are extensions of super commutative ones by the enveloping, respectively restricted enveloping, algebra of osp(1|2).

This material is based upon work supported by the National Science Foundation under Grant No. DMS-1440140 while N. A. was in residence at the Mathematical Sciences Research Institute in Berkeley, California, in the Spring 2020 semester. The work of N. A. and H. M. P. P. was partially supported by CONICET and Secyt (UNC)