Integrating morphisms of Lie 2-algebras

Details Integrating morphisms of Lie 2-algebras Integrating morphisms of Lie 2-algebras

2009-10-09

arxiv.org/abs/0910.1818v3

Mathematics

Quantum Algebra

discussion of connected covers of Lie 2-groups expanded, 26 pages

Scientific paper

We show how to integrate a weak morphism of Lie algebra crossed-modules to a weak morphism of Lie 2-groups. To do so we develop a theory of butterflies for 2-term L_infty algebras. In particular, we obtain a new description of the bicategory of 2-term L_infty algebras. We use butterflies to give a functorial construction of connected covers of Lie 2-groups. We also discuss the notion of homotopy fiber of a morphism of 2-term L_infty algebras.

Affiliated with

Also associated with

No associations

Rating

Integrating morphisms of Lie 2-algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Integrating morphisms of Lie 2-algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Integrating morphisms of Lie 2-algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-52035