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On Hopf 2-algebras.

Tue, 08/18/2009 - 11:53 — SomNambul
Authors: Yael Fregier, Friedrich Wagemann
Subjects: Group Theory
link: http://arxiv.org/abs/0908.2353
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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