Counting arguments for Hopf algebras of low dimension
Counting arguments for Hopf algebras of low dimension
Let $k$ be an algebraically closed field of characteristic $0$. We show that all Hopf algebras of dimension 15, 21 or 35 over $k$ are necessarily semisimple. We also prove that Hopf algebras of dimension 25 or 49 are either semisimple or pointed. This concludes the full classification of Hopf …