Realizations of real low-dimensional Lie algebras

By R. Popovych, Vyacheslav M. Boyko, M. Nesterenko, M. Lutfullin. 2003

211 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/70b64698fe164b4da1a3d6464b6b197bfea0ce59