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arXiv:1409.1502 [math.DG]AbstractReferencesReviewsResources

Double Lie algebroids and representations up to homotopy

A. Gracia-Saz, M. Jotz Lean, K. C. H. Mackenzie, R. A. Mehta

Published 2014-09-04Version 1

We show that double Lie algebroids, together with a chosen linear splitting, are equivalent to pairs of 2-term representations up to homotopy satisfying compatibility conditions which extend the notion of matched pair of Lie algebroids. We discuss in detail the tangent of a Lie algebroid.

Categories: math.DG
Subjects: 18D05
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