Hopf Subalgebras and Hopf Ideals of Certain Semisimple Hopf Algebras

摘要

In the paper, for semisimple Hopf algebras that have only one non-one-dimensional irreducible representation, all Hopf ideals are described and, under some restriction concerning the number of group elements in the dual Hopf algebra, some series of Hopf subalgebras are found. Moreover, the quotient Hopf algebras of these semisimple Hopf algebras are described.