The Big Picture

The project is about the relationship between objects of discrete nature, simple graphs, and objects of linear algebraic nature, two-step nilpotent Lie algebras. There is a functor between the categories of simple graphs and morphisms thereof and the category of two-step nilpotent Lie algebras which is conservative. The project proposes to study the image of that functor, as well as the existence of certain geometric structures on the Lie algebras from that image.

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