From simplicial Lie algebras and hypercrossed complexes to differential graded Lie algebras via 1-jets

Details From simplicial Lie algebras and hypercrossed complexes to differential graded Lie algebras via 1-jets From simplicial Lie algebras and hypercrossed complexes to differential graded Lie algebras via 1-jets

2011-10-04

arxiv.org/abs/1110.0815v2

Mathematics

Differential Geometry

18 pages, typos in Proposition 5.2 fixed

Scientific paper

Let g be a simplicial Lie algebra with Moore complex Ng of length k. Let G be the simplicial Lie group integrating g, which is simply connected in each simplicial level. We use the 1-jet of the classifying space of G to construct, starting from g, a Lie k-algebra L. The so constructed Lie k-algebra L is actually a differential graded Lie algebra. The differential and the brackets are explicitly described in terms (of a part) of the corresponding k-hypercrossed complex structure of Ng.

Affiliated with

Also associated with

No associations

Rating

From simplicial Lie algebras and hypercrossed complexes to differential graded Lie algebras via 1-jets 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 From simplicial Lie algebras and hypercrossed complexes to differential graded Lie algebras via 1-jets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and From simplicial Lie algebras and hypercrossed complexes to differential graded Lie algebras via 1-jets will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-270254