Families of finite-dimensional Hopf algebras with the Chevalley property

2010/12/01 by Martín Mombelli, Mombelli, Martín
Mathematics · #16W30 #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #math.QA #math.RA #msc:16W30

paper · pdf · doi:10.48550/arxiv.1012.0222

15 pages

arxiv created 2011/07/15 · arxiv updated 2011/07/19

Abstract

We introduce and study new families of finite-dimensional Hopf algebras with the Chevalley property that are not pointed nor semisimple arising as twistings of quantum linear spaces. These Hopf algebras generalize the examples introduced in [AEG], [EG1], [EG2].

Related

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• Triangular Hopf algebras with the Chevalley property
• Derived discrete Hopf algebras with the Chevalley property
• Classification of Finite-Dimensional Triangular Hopf Algebras With The Chevalley Property
• Finite-dimensional pointed Hopf algebras of type A_n related to the Faddeev-Reshetikhin-Takhtajan U(R) construction