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Integration of semidirect product Lie 2-algebras

Published 6 Mar 2010 in math.DG, math-ph, math.GR, and math.MP | (1003.1348v3)

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.

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