In this paper,we study the structure of non-abelian omni-Lie 2-algebras.Firstly,we define a G-valued pairing and a bracket operation on the direct sum space gl(G)⊕G such that a non-abelian omni-Lie 2-algebra is constructed.At the same time,we prove that it is a strict Leibniz 2-algebra.Secondly,we prove that the bracket is compatible with the symmetric pairing and their properties are similar to the properties of omni-Lie 2-algebras.Lastly,a Nijenhuis operator on Leibniz 2-algebras is constructed,and it is shown that a non-abelian omni-Lie 2-algebra can be considered as a trivial deformation of an omni-Lie 2-algebra.
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