مشخصات پژوهش

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.