∞-Lie theory

# Contemts

## Definition

A Lie 3-algebra or $3$-Lie algebra is a 3-truncated L-∞-algebra. Under Lie integration is the infinitesimal approximation to a Lie 3-group.

## Models by 2-crossed modules

A semistrict model for Lie 3-algebras, analogous to that of 3-groupoids that are Gray groupoids is given by differential 2-crossed modules.

## References

Lie 3-algebras coming from differential 2-crossed modules and parallel transport for Lie 3-algebra valued forms is discussed in

Created on July 22, 2010 15:47:39 by Urs Schreiber (87.212.203.135)