Realizations of Real Low-Dimensional Lie Algebras
Popovych, Roman O. ; Boyko, Vyacheslav M. ; Nesterenko, Maryna O. ; Lutfullin, Maxim W.
arXiv, 0301029 / Harvested from arXiv
Text on arXiv
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. Known results on classification of low-dimensional real Lie algebras, their automorphisms, differentiations, ideals, subalgebras and realizations are reviewed.
Publié le : 2003-01-21
Classification:  Mathematical Physics,  General Relativity and Quantum Cosmology,  Mathematics - Representation Theory,  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  17B66,  35A30,  58J70 
@article{0301029,
     author = {Popovych, Roman O. and Boyko, Vyacheslav M. and Nesterenko, Maryna O. and Lutfullin, Maxim W.},
     title = {Realizations of Real Low-Dimensional Lie Algebras},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0301029}
}

Popovych, Roman O.; Boyko, Vyacheslav M.; Nesterenko, Maryna O.; Lutfullin, Maxim W. Realizations of Real Low-Dimensional Lie Algebras. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0301029/