We classify the finite-dimensional quotient Hopf algebras of the deformed algebra of functionsof the general linear group (over an algebraicallyclosed field of zero characteristic). This gives an interesting class of Hopf algebras if the deformationparameter is a root of unity (of odd order). Weinvestigate the properties of these Hopf algebrasand construct a new counterexampleto Kaplansky's tenth conjecture. E-mail: eric.mueller@akdb.de 1991 Mathematics Subject Classification: 81R50, 16W30, 17B37.
