Some Hopf Algebras related to ${\mathfrak{sl}}_2$

Yan Tan, Jing Wang, Zhixiang Wu

We define a series of Artin-Schelter Gorenstein Hopf algebras $H_{\beta }$ with injective dimensions 3. Radford's Hopf algebra and Gelaki's Hopf algebra are homomorphic images of $H_{\beta }$. W…