Double Lie algebroids and representations up to homotopy
2017 | journal article; research paper. A publication with affiliation to the University of Göttingen.
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- Authors
- Gracia-Saz, A.; Jotz Lean, M. ; Mackenzie, K. C. H.; Mehta, R. A.
- Abstract
- We show that a double Lie algebroid, together with a chosen decomposition, is equivalent to a pair 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 double Lie algebroids arising from the tangent bundle of a Lie algebroid and the cotangent bundle of a Lie bialgebroid.
- Issue Date
- 2017
- Journal
- Journal of Homotopy and Related Structures
- Organization
- Mathematisches Institut
- Language
- English