CIEM   05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
Pointed Hopf algebras: a guided tour to the liftings
Autor/es:
IVÁN ANGIONO; AGUSTÍN GARCÍA IGLESIAS
Revista:
REVISTA COLOMBIANA DE MATEMáTICAS
Editorial:
Sociedad Colombiana de Matemáticas y Universidad Nacional de Colombia
Referencias:
Año: 2019 vol. 53 p. 1 - 44
ISSN:
0034-7426
Resumen:
This article serves a two-fold purpose. On the one hand, it is a survey about the classification 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 $B_2$.