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Zbl 1040.17021
Popovych, Roman O.; Boyko, Vyacheslav M.; Nesterenko, Maryna O.; Lutfullin, Maxim W.
Realizations of real low-dimensional Lie algebras. (English)
[J] J. Phys. A, Math. Gen. 36, No. 26, 7337-7360 (2003). ISSN 0305-4470

Summary: 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.

MSC 2000:: *17B66 Lie algebras of vector fields and related algebras
34M15 Algebraic aspects of differential equations in the complex domain

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Zentralblatt MATH Berlin [Germany]