arXiv subjects

Gabriel Kadjo

Publications and source records attributed to Gabriel Kadjo.

2 recordsLinked to original sources

arXiv2017

Split extension classifiers in the category of cocommutative Hopf algebras

We describe the split extension classifiers in the semi-abelian category of cocommutative Hopf algebras over an algebraically closed field of characteristic zero. The categorical notions of centralizer and of center in the category of cocommutative Hopf algebras is then explored. We show that the categorical notion of center coincides with the one that is considered in the theory of general Hopf algebras.

math.CT↗

arXiv2015

A torsion theory in the category of cocommutative Hopf algebras

The purpose of this article is to prove that the category of cocommutative Hopf $K$-algebras, over a field $K$ of characteristic zero, is a semi-abelian category. Moreover, we show that this category is action representable, and that it contains a torsion theory whose torsion-free and torsion parts are given by the category of groups and by the category of Lie $K$-algebras, respectively.

math.CT↗