# Realizations of real low-dimensional Lie algebras

@article{Popovych2003RealizationsOR, title={Realizations of real low-dimensional Lie algebras}, author={Roman O. Popovych and Vyacheslav M. Boyko and Maryna Olexandrivna Nesterenko and Maxim W. Lutfullin}, journal={Journal of Physics A}, year={2003}, volume={36}, pages={7337-7360} }

Using a new powerful technique based on the notion of megaideal, we construct a complete set of inequivalent realizations of real Lie algebras of dimension no greater than four in vector fields on a space of an arbitrary (finite) number of variables. Our classification amends and essentially generalizes earlier works on the subject.

## 152 Citations

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