Abstract

ANGIONO, Iván  and  GARCIA IGLESIAS, Agustín. Pointed Hopf algebras: a guided tour to the liftings. Rev.colomb.mat. [online]. 2019, vol.53, suppl.1, pp.1-44.  Epub Mar 24, 2020. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v53nsupl.83958.

This article serves a two-fold purpose. On the one hand, it is a survey about the classi cation of finite-dimensional pointed Hopf algebras with abelian coradical, whose final step is the computation of the liftings or deformations of graded Hopf algebras. On the other, we present a step-by-step guide to carry out the strategy developed to construct the liftings. As an example, we conclude the work with the classification of pointed Hopf algebras of Cartan type B 2.

Keywords : Hopf algebras; Liftings; Cleft objetcs.

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