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Semidirect products
of representations up to homotopy
Yunhe Sheng and Chenchang Zhu |
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Vol. 249 (2011), No. 1, 211–236
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Abstract |
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We study the semidirect product of a Lie algebra with a representation up to homotopy and provide various examples coming from Courant algebroids, Lie 2-algebras of string type, and omni-Lie algebroids. In the end, we study the semidirect product of a Lie group with a representation up to homotopy and use it to give an integration of a certain Lie 2-algebra of string type. |
Keywords
representation up to homotopy, L∞-algebra, integration, Lie
2-algebras, Courant algebroids
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Mathematical Subject Classification 2000
Primary: 17B65
Secondary: 18B40, 58H05
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Milestones
Received: 14 October 2009
Revised: 25 November 2009
Accepted: 17 December 2009
Published: 3 January 2011
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Authors |
| Yunhe Sheng | |
| Department of Mathematics Jilin University Changchun, Jilin 130012 China |
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| Chenchang Zhu | |
| Courant Research Centre “Higher
Order Structures” Mathematisches Institut University of Göttingen Bunsenstraße 3-5 D-37073 Göttingen Germany |
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