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Families of Finite-Dimensional Hopf Algebras with the Chevalley Property

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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 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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  1. FAMAF-CIEM (CONICET), Universidad Nacional de Córdoba, Medina Allende s/n, (5000) Ciudad Universitaria, Córdoba, Argentina

    Martín Mombelli

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  1. Martín Mombelli
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Correspondence to Martín Mombelli.

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This work was partially supported by Ministerio de Ciencia y Tecnología (Córdoba), Secyt (UNC), CONICET, Argentina.

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Mombelli, M. Families of Finite-Dimensional Hopf Algebras with the Chevalley Property. Algebr Represent Theor 16, 421–435 (2013). https://doi.org/10.1007/s10468-011-9313-3

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  • DOI: https://doi.org/10.1007/s10468-011-9313-3

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