Representations of Finite Dimensional Pointed Hopf Algebras over \mathbbz_n

2011/06/21 by Ying Zhang, Zhang, Ying, Hui-Xiang Chen +1
Mathematics · #16G60 #16W30 #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1106.4117

openalex publication_date 2011/06/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the representations of the new finite-dimensional pointed Hopf algebras in positive characteristic given in \citeCib09. 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.

Related

• On the irreducible representations of a class of pointed Hopf algebras
• On finite-dimensional Hopf algebras
• Examples of finite-dimensional pointed Hopf algebras in positive characteristic
• Irreducible representations of pointed Hopf algebras of type A₂
• Pointed Hopf algebras of odd dimension and Nichols algebras over solvable groups