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

Ying Zhang; Hui-Xiang Chen

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

Representation Theory 2011-06-22 v1 Quantum Algebra

Authors: Ying Zhang , Hui-Xiang Chen

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.

Keywords

pointed Hopf algebras positive characteristic symmetric algebras simple modules projective covers wild representation type

Cite

@article{arxiv.1106.4117,
  title  = {Representations of Finite Dimensional Pointed Hopf Algebras over $\mathbb{z}_n$},
  author = {Ying Zhang and Hui-Xiang Chen},
  journal= {arXiv preprint arXiv:1106.4117},
  year   = {2011}
}

Comments

appear in the Communications in Algebra

Related papers

View all related →