Maxim LUTFULLIN
Poltava State Pedagogical University,
2 Ostrogradskoho Str., Poltava, UKRAINE
E-mail: MWL@pdpu.septor.net.ua
Realizations of low-dimensional Lie algebras
Abstract:
Using a new powerful technique based on the notion of megaideal, we
construct a complete set of inequivalent realizations of 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. Some applications of obtained
results are also discussed.
The talk is based on our work math-ph/0301029 (J. Phys. A, 2003, V.36, 7337-7360).