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Abstract
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We describe the definition of Jacobi (generalized)–Lie bialgebras ((g, φ0), (g∗,X0)) in
terms of structure constants of the Lie algebras g and g∗ and components of their 1-
cocycles X0 ∈ g and φ0 ∈ g∗ in the basis of the Lie algebras. Then, using adjoint
representations and automorphism Lie groups of Lie algebras, we give a method for
classification of real low-dimensional Jacobi–Lie bialgebras. In this way, we obtain and
classify real two- and three-dimensional Jacobi–Lie bialgebras.
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