Topologizing Lie algebra cohomology

2016/03/11 by David Kyed, Kyed, David
Mathematics · #17B56 #22E41 #Differential Geometry (math.DG) #FOS: Mathematics #Group Theory (math.GR) #math.DG #math.GR #msc:17B56 #msc:22E41

paper · pdf · doi:10.48550/arxiv.1603.03691

v2: minor corrections compared to v1

arxiv created 2016/04/04 · arxiv updated 2016/04/05

Abstract

We show that the theory of Lie algebra cohomology can be recast in a topological setting and that classical results, such as the Shapiro lemma and the van Est isomorphism, carry over to this augmented context.

Related

• Van Est differentiation and integration
• A Cocycle Model for Topological and Lie Group Cohomology
• A new cohomology theory associated to deformations of Lie algebra morphisms
• The Weil algebra and the Van Est isomorphism
• A cohomology theory for Lie 2-algebras and Lie 2-groups