Nonabelian omni-Lie algebroids (Q2689752)

Let us recall that the notion of omni-Lie algebra has been defined by Weinstein in order to study the linearization of standard Courant algebroid. In this paper, the authors study the structure of nonabelian omni-Lie algebroids. They give the definition of nonabelain omni-Lie algerbroid with Dorfman bracket and show the corresponding properties. They prove that the nonabelian omni-Lie algebroid is a matched pair of Leibniz algebroids. Higher nonabelian omni-Lie algebroids are investigated for future works.