论文标题
在德林菲尔德超级扬吉尼亚人上的Hopf Superalgebra结构的分类
Classification of Hopf superalgebra structures on Drinfeld super Yangians
论文作者
论文摘要
在与任意Dynkin图相关的特殊线性超级甲虫的情况下，我们构建了德林菲尔德超级扬吉亚人的简约表现。这使我们有可能在德林菲尔德超级扬吉亚人上介绍Hopf Superalgebra结构。使用完整的Weyl组，我们将Drinfeld超级扬吉人分类为已提及的Hopf Superalgebra结构。此外，它也构建了德林菲尔德超级扬吉人和量子循环超级甲虫之间的同构。
We construct a minimalistic presentation of Drinfeld super Yangians in the case of special linear superalgebra associated with an arbitrary Dynkin diagram. This gives us a possibility to introduce Hopf superalgebra structure on Drinfeld super Yangians. Using complete Weyl group we classify Drinfeld super Yangians endowed with mentioned Hopf superalgebra structures. Also it is constructed an isomorphism between completions of Drinfeld super Yangians and quantum loop superalgebras.
