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arXiv · 1202.1378

Distributions and quotients on degree 1 NQ-manifolds and Lie algebroids

Marco Zambon·Chenchang Zhu
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Abstract

It is well-known that a Lie algebroid A is equivalently described by a degree 1 Q-manifold M. We study distributions on M, giving a characterization in terms of A. We show that involutive Q-invariant distributions on M correspond bijectively to IM-foliations on A (the infinitesimal version of Mackenzie's ideal systems). We perform reduction by such distributions, and investigate how they arise from non-strict actions of strict Lie 2-algebras on M.

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Marco Zambon, Chenchang Zhu. 2012-02-07. Distributions and quotients on degree 1 NQ-manifolds and Lie algebroids. https://arxiv.org/abs/1202.1378

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