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arXiv · 0908.2353

On Hopf 2-algebras

Yael Fregier·Friedrich Wagemann
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Abstract

Our main goal in this paper is to translate the diagram relating groups, Lie algebras and Hopf algebras to the corresponding 2-objects, i.e. to categorify it. This is done interpreting 2-objects as crossed modules and showing the compatibility of the standard functors linking groups, Lie algebras and Hopf algebras with the concept of a crossed module. One outcome is the construction of an enveloping algebra of the string Lie algebra of Baez-Crans, another is the clarification of the passage from crossed modules of Hopf algebras to Hopf 2-algebras.

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BibTeXRIS

Yael Fregier, Friedrich Wagemann. 2010-04-09. On Hopf 2-algebras. https://arxiv.org/abs/0908.2353

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