4 problems

Let $K=\Bbbk G$ for a finite group $G$, and let … be a finite-dimensional coradically graded connected Hopf algebra, with $R^1$ its degree-one component. Andruskiewitsch–Schneider…

Kochetov's conjecture. The smash product $H\#\mathbb{F}G$ is PI if and only if

Let $L$ be a cosemisimple Hopf algebra and let $A$ be a pointed Hopf algebra with diagram $\mathcal R$ and infinitesimal braiding $\mathcal V=\mathcal R^1$ in…

Assume that $k$ is an algebraically closed field of characteristic zero. A Hopf algebra is pointed when its coradical is spanned by grouplike elements; its grouplike and skew primi…