Representations of Finite Dimensional Pointed Hopf Algebras over zn\mathbb{z}_n

preprint2011arXivOpen access

Abstract

In this paper, we study the representations of the new finite-dimensional pointed Hopf algebras in positive characteristic given in \cite{Cib09}. We find that these Hopf algebras are symmetric algebras. We determine the simple modules and their projective covers over these Hopf algebras. We show that these Hopf algebras are of wild representation type.

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