Mathematical Physics
[Submitted on 30 Mar 2011 (v1), last revised 14 Dec 2015 (this version, v4)]
Title:Higher Extensions of Lie Algebroids
View PDFAbstract:We study the extension of a Lie algebroid by a representation up to homotopy, including semidirect products of a Lie algebroid with such representations. The extension results in a higher Lie algebroid. We give exact Courant algebroids and string Lie 2-algebras as examples of such extensions. We then apply this to obtain a Lie 2-groupoid integration of an exact Courant algebroid.
Submission history
From: Yunhe Sheng [view email][v1] Wed, 30 Mar 2011 13:19:45 UTC (33 KB)
[v2] Mon, 19 Sep 2011 11:49:56 UTC (46 KB)
[v3] Fri, 20 Feb 2015 07:50:54 UTC (36 KB)
[v4] Mon, 14 Dec 2015 03:32:10 UTC (43 KB)
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