Integration of semidirect product Lie 2-algebras

2010/03/06 by Yunhe Sheng, Chenchang Zhu, Sheng, Yunhe +1 · 1 citation
Mathematics · Medicine · #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Ophthalmology and Eye Disorders

paper · pdf · doi:10.48550/arxiv.1003.1348

openalex publication_date 2010/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Higher Dimensional Homology Algebra III:Projective Resolutions and Derived 2-Functors in (2-SGp)

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