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On finite-dimensional copointed Hopf algebras over dihedral groups
(Elsevier Science, 2019-08)
We classify all finite-dimensional Hopf algebras over an algebraically closed field of characteristic zero such that its coradical is isomorphic to the algebra of functions k D m over a dihedral group D m , with m=4a≥12. ...
Hopf algebróides
(2016)
Generalizations of Lie Algebras
(SPRINGER BASEL AGBASEL, 2012)
The generalizations of Lie algebras appeared in the modern mathematics and mathematical physics. In this paper we consider recent developments and remaining open problems on the subject. Some of that developments have been ...
Examples of extensions of hopf algebras
(Universidad Nacional de Colombia; Sociedad Colombiana de Matemáticas, 2015-03)
We give some examples of, and raise some questions on, extensions of semisimple Hopf algebras.
Hopf algebras and polynomial graph invariants
(Universidade Federal de Minas GeraisUFMG, 2018-03-23)
We begin with a brief introduction to the chromatic and Tutte polynomial of graphs. We then give an introduction to Hopf algebras. In combinatorics, Hopf algebras arise since many combinatorial objects have associated with ...
Pointed Hopf algebras over non abelian groups with decomposable braidings, I
(Academic Press Inc Elsevier Science, 2020-05)
We describe all finite-dimensional pointed Hopf algebras whose infinitesimal braiding is a fixed Yetter-Drinfeld module decomposed as the sum of two simple objects: a point and the one of transpositions of the symmetric ...
Pointed Hopf algebras: A guided tour to the liftingsÁlgebras de Hopf punteadas: Una excursión a los levantamientos
(Sociedad Colombiana de Matemáticas y Universidad Nacional de Colombia, 2019-11)
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 ...