{
  "id": "1202.1378",
  "version": "v1",
  "published": "2012-02-07T09:20:09.000Z",
  "updated": "2012-02-07T09:20:09.000Z",
  "title": "Distributions and quotients on degree 1 NQ-manifolds and Lie algebroids",
  "authors": [
    "Marco Zambon",
    "Chenchang Zhu"
  ],
  "comment": "Our previous submission arXiv:1012.0428v1 has been divided into two papers. The present paper contains sections 1.3 and 4 (improved in their presentation), and additionally addresses the link to IM-foliations. 19 pages",
  "journal": "J. Geometric Mechanics, Volume 4, Number 4 (2012), pp. 469-485",
  "categories": [
    "math.DG",
    "math.SG"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-02-07T09:20:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53D17",
      "58A50",
      "18D35"
    ],
    "keywords": [
      "lie algebroid",
      "nq-manifolds",
      "mackenzies ideal systems",
      "perform reduction",
      "study distributions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.1378Z"
    }
  }
}