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arXiv · 1502.04001

On some properties of the category of cocommutative Hopf algebras

Christine Vespa·Marc Wambst
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Abstract

By a recent work of Gran-Kadjo-Vercruysse, the category of cocommutative Hopf algebras over a field of characteristic zero is semi-abelian. In this paper, we explore some properties of this categoy, in particular we show that its abelian core is the category of commutative and cocommutative Hopf algebras.

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Christine Vespa, Marc Wambst. 2015-03-24. On some properties of the category of cocommutative Hopf algebras. https://arxiv.org/abs/1502.04001

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