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abstract: 'In this paper, we study the representations of the new finite-dimensional pointed Hopf algebras in positive characteristic given in [@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.'
address:
- 'School of Mathematical Science, Yangzhou University, Yangzhou 225002, China; and School of Science, Huaihai Institute of Technology, Lianyungang 222005, China'
- 'School of Mathematical Science, Yangzhou University, Yangzhou 225002, China'
author:
- Ying Zhang
- 'Hui-Xiang Chen'
title: 'REPRESENTATIONs OF FINITE DIMENSIONAL POINTED HOPF ALGEBRAS OVER $\mathbb{Z}_n$'
---

Introduction and Preliminaries {#1}
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The construction and classification of Hopf algebras play an important role in the theory of Hopf algebras. During the last few years several classification results for pointed Hopf algebras were obtained based on the theory of Nichols algebras [@And98; @And02; @And08]. In [@Cib09], Cibils, Lauve and Witherspoon studied Nichols algebras via an embedding in Hopf quiver algebras. They constructed some new finite dimensional Hopf algebras in positive characteristic $p$, which are pointed Hopf algebras over $\mathbb{Z}_n$, the cyclic group of order $n$, where $p|n$. In this paper, we study these 