摘要

It is well-known that a Lie algebroid A is equivalently described by a degree 1 NQ-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%26apos;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

  • 出版日期2012-12