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september 2018 Split extension classifiers in the category of cocommutative Hopf algebras
Marino Gran, Gabriel Kadjo, Joost Vercruysse
Bull. Belg. Math. Soc. Simon Stevin 25(3): 355-382 (september 2018). DOI: 10.36045/bbms/1536631232

Abstract

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.

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Marino Gran. Gabriel Kadjo. Joost Vercruysse. "Split extension classifiers in the category of cocommutative Hopf algebras." Bull. Belg. Math. Soc. Simon Stevin 25 (3) 355 - 382, september 2018. https://doi.org/10.36045/bbms/1536631232

Information

Published: september 2018
First available in Project Euclid: 11 September 2018

zbMATH: 06970019
MathSciNet: MR3852673
Digital Object Identifier: 10.36045/bbms/1536631232

Subjects:
Primary: 16S40, 16T05, 16U70, 18E10, 20J99

Rights: Copyright © 2018 The Belgian Mathematical Society

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Vol.25 • No. 3 • september 2018
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