nLab
differential 2-crossed module

Context

\infty-Lie theory

∞-Lie theory (higher geometry)

Background

Smooth structure

Higher groupoids

Lie theory

∞-Lie groupoids

∞-Lie algebroids

Formal Lie groupoids

Cohomology

Homotopy

Examples

\infty-Lie groupoids

\infty-Lie groups

\infty-Lie algebroids

\infty-Lie algebras

Contents

Idea

A differential 2-crossed module encodes a semistrict Lie 3-algebra in terms of a system of ordinary Lie algebras and morphisms between them. It generalizes the way a differential crossed module encodes a strict Lie 2-algebra

References

The definition is reproduced for instance in section 1.2 of

Created on July 27, 2010 11:14:28 by Urs Schreiber (134.100.32.207)