A result extended from groups to Hopf algebras
We work over an algebraically closed field \(k\) of characteristic 0. The aim of this short note is to prove the following theorem, which is an extension of a well-known fact on finite groups to finite-dimensional semisimple Hopf algebras. Theorem. Let \(p\) be an odd prime which is congruent to 2 modulo 3. Then a semisimple Hopf algebra of dimension \(3p\) is isomorphic to the group-like Hopf algebra \(kC_{3p}\) of the cyclic group \(C_{3p}\) of order \(3p\).
finite-dimensional semisimple Hopf algebras
scientific article; zbMATH DE number 1102910