Integration of semidirect product Lie 2-algebras

Abstract

The semidirect product of a Lie algebra and a 2-term representation up to homotopy is a Lie 2-algebra. Such Lie 2-algebras include many examples arising from the Courant algebroid appearing in generalized complex geometry. In this paper, we integrate such a Lie 2-algebra to a strict Lie 2-group in the finite dimensional case.

arXiv comment31 pages, no figure, Int. J. Geom. Methods Mod. Phys. Vol. 9, No. 5 (2012) 1250043. DOI No: 10.1142/S0219887812500430 1250043

Cited by in corpus (5)

• From double Lie groupoids to local Lie 2-groupoids
• Leibniz 2-algebras and twisted Courant algebroids
• L-infinity algebra actions
• Omni-Lie 2-algebras and their Dirac structures
• Higher Dimensional Homology Algebra III:Projective Resolutions and Derived 2-Functors in (2-SGp)