A chain complex with Leibniz product and Jacobi identity determines a continual Lie algebra with root space parameterized by the complex parameters.
On an Equation Associated with the Contact Lie Algebras
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On an equation associated with the contact Lie algebras/ Mikhail V. Saveliev/ In the framework of a Lie algebraic approach we study a nonlinear equation associated with the contact Lie algebra ${\bf K}K_m$, that seems to be relavant for some solvable models of field theory and gravity in higher dimensions. LPTENS--93/43.
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Continual Lie algebras determined by chain complexes
A chain complex with Leibniz product and Jacobi identity determines a continual Lie algebra with root space parameterized by the complex parameters.