论文标题
在（受限制的）超级约旦飞机上
On the double of the (restricted) super Jordan plane
论文作者
论文摘要
我们考虑了超级乔丹飞机，这是一种编织的霍普夫代数，这是我们的最佳知识 - 在N. Andruskiewitsch，I。Angiono，I。Heckenberger的作品中，以及同一作者引入的奇数特征中的受限版本。我们表明，他们的德林菲尔德双打自然而然地产生了霍普夫超级甲壳虫，这证明了后验的形容词超级超级。这些HOPF超级甲虫是超级交换的扩展，分别由$ \ mathfrak {osp}（1 | 2）$的包络限制的代数，代数。
We consider the super Jordan plane, a braided Hopf algebra introduced--to the best of our knowledge--in works of N. Andruskiewitsch, I. Angiono, I. Heckenberger, and its restricted version in odd characteristic introduced by the same authors. We show that their Drinfeld doubles give rise naturally to Hopf superalgebras justifying a posteriori the adjective super given in their work. These Hopf superalgebras are extensions of super commutative ones by the enveloping, respectively restricted enveloping, algebra of $\mathfrak{osp}(1|2)$.
