The character table for a Hopf algebra arising from the Drinfelʹd double

In this paper we give a definition of the character table for a Hopf algebra H over a commutative field k of characteristic 0. When H is a finite-dimensional, semisimple, Hopf algebra over an algebraically closed field k of characteristic 0, we obtain a formula for the character table which extends the notion of character table for a finite group.