Maxim LUTFULLIN and Yuri OLEKSIYCHUK
Poltava State Pedagogical University,
2 Ostrogradskoho Str.,
Poltava,
UKRAINE
E-mail: mwl@pdpu.septor.net.ua

Realizations of some five-dimensional real Lie algebras

Abstract:
Using the method proposed in J. Phys. A: Math. Gen., 36 (2003), 7337-7360; math-ph/0301029, for some five-dimensional real Lie algebras we construct exhaustive lists of inequivalent realizations in vector fields on a space of an arbitrary (finite) number of variables.