Roman O Popovych et al 2003 J. Phys. A: Math. Gen. 36 7337 doi:10.1088/0305-4470/36/26/309
Roman O Popovych1, Vyacheslav M Boyko1, Maryna O Nesterenko1 and Maxim W Lutfullin2
Show affiliationsUsing 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.
02.20.Sv Lie algebras of Lie groups
49K15 Problems involving ordinary differential equations
35Dxx Generalized solutions of partial differential equations
22E60 Lie algebras of Lie groups (For the algebraic theory of Lie algebras, see 17Bxx)
Issue 26 (4 July 2003)
Received 21 January 2003
Published 18 June 2003
Roman O Popovych et al 2003 J. Phys. A: Math. Gen. 36 7337
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