Hopf algebras with the dual Chevalley property of discrete corepresentation type

2024/09/30 by Jing Yu, Yu, Jing, Gongxiang Liu +1 · 1 citation
Mathematics · #16G10 #16G20 #16G60 #16T05 #Advanced Operator Algebra Research #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.2409.20292

openalex publication_date 2024/09/30 · openalex created_date 2024/10/28 · openalex updated_date 2026/07/28

Abstract

We try to classify Hopf algebras with the dual Chevalley property of discrete corepresentation type over an algebraically closed field \Bbbk with characteristic 0. For such Hopf algebra H, we characterize the link quiver of H and determine the structures of the link-indecomposable component H₍₁₎ containing \Bbbk1. Besides, we construct an infinite-dimensional non-pointed non-cosemisimple link-indecomposable Hopf algebra H(e_{± 1}, f_{± 1}, u, v) with the dual Chevalley property of discrete corepresentation type.

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