Some classifications of finite-dimensional Hopf algebras over the Hopf algebra $H_{b:x^{2}y}$ of Kashina

Yihan Wu, Hengyi Wang, Naihong Hu

Let $H$ be the $16$-dimensional nontrivial (namely, noncommutative and noncocommutative) semisimple Hopf algebra $H_{b:x^{2}y}$ classified by Kashina. We figure out all simple Yetter…