A cohomological proof for the integrability of strict Lie 2-algebras

Abstract

We prove a series of van Est type theorems relating the cohomologies of strict Lie 2-groups and strict Lie 2-algebras and use them to prove the integrability of Lie 2-algebras anew.

References in corpus (6)

• Central Extensions of Smooth 2-Groups and a Finite-Dimensional String 2-Group
• Vector bundles over Lie groupoids and algebroids
• Integration of Lie 2-algebras and their morphisms
• Deformations of Lie 2-algebras
• Cohomological characterizations of non-abelian extensions of strict Lie 2-algebras
• A cohomology theory for Lie 2-algebras

Cited by in corpus (1)

• The van Est homomorphism for strict Lie 2-groups