Representations of Finite Dimensional Pointed Hopf Algebras over $\mathbb{z}_n$
Ying Zhang, Hui-Xiang Chen
Abstract
Open-access reader
Ying Zhang, Hui-Xiang Chen
Abstract
Open-access reader
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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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.
Key concepts: Hopf algebra, Representation theory of Hopf algebras, Mathematics, Representation (politics), Quantum group, Pure mathematics, Simple (philosophy), Type (biology)