Representations of Finite Dimensional Pointed Hopf Algebras Over ℤ_n

Abstract

In this article, we study the representations of the new finite-dimensional pointed Hopf algebras in positive characteristic given in [6]. 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.

Key Words:

• Projective cover
• Representation type
• Simple module

2010 Mathematics Subject Classification:

• 16G60
• 16W30

ACKNOWLEDGMENT

This work is supported by NSF of China, No. 11171291, and supported by Doctorate foundation, No. 200811170001, Ministry of Education of China.

Notes

Communicated by Q. Wu.