Integrating central extensions of Lie algebras via Lie 2-groups

DOI10.4171/JEMS/613zbMath1344.22009arXiv1204.5583WikidataQ115212433 ScholiaQ115212433MaRDI QIDQ294195

Chenchang Zhu, Christoph Wockel

Publication date: 9 June 2016

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.5583

zbMATH Keywords

cohomologyLie algebraLie groupcovercentral extensionstackLie \(2\)-group

Mathematics Subject Classification ID

Homological methods in Lie (super)algebras (17B55) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Group structures and generalizations on infinite-dimensional manifolds (58B25) Pseudogroups and differentiable groupoids (58H05)

Related Items (5)

Differential graded Lie groups and their differential graded Lie algebras ⋮ Integration of Lie 2-algebras and their morphisms ⋮ Lie theory and cohomology of relative Rota–Baxter operators ⋮ Categorified central extensions, étale Lie 2-groups and Lie's third theorem for locally exponential Lie algebras ⋮ Higher extensions of Lie algebroids

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