A cohomology theory for Lie 2-algebras

Abstract

In this article, we introduce a new cohomology theory associated to a Lie 2-algebras. This cohomology theory is shown to extend the classical cohomology theory of Lie algebras; in particular, we show that the second cohomology group classifies an appropriate type of extensions.

References in corpus (2)

• Vector bundles over Lie groupoids and algebroids
• Cohomological characterizations of non-abelian extensions of strict Lie 2-algebras

Cited by in corpus (1)

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