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Families of Finite-Dimensional Hopf Algebras with the Chevalley Property

机译:Families of Finite-Dimensional Hopf Algebras with the Chevalley Property

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摘要

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 Andruskiewitsch et al. (Mich Math J 49(2):277–298, 2001), Etingof and Gelaki (Int Math Res Not 14:757–768, 2002, Math Res Lett 8:249–255, 2001).

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