Integration of semidirect product Lie 2-algebras

Details Integration of semidirect product Lie 2-algebras Integration of semidirect product Lie 2-algebras

2010-03-06

arxiv.org/abs/1003.1348v1

Mathematics

Differential Geometry

28 pages, no figure

Scientific paper

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.

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