On some properties of the category of cocommutative Hopf algebras

2015/02/13 by Vespa, Christine, Wambst, Marc · 1 citation
#Category Theory (math.CT) #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1502.04001

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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