Double Lie algebroids and representations up to homotopy
نویسندگان
چکیده
Weshow that a double Lie algebroid, togetherwith a chosen decomposition, is equivalent to a pair of 2-term representations up tohomotopy 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.
منابع مشابه
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