On Low-Dimensional Filiform Leibniz Algebras and Their Invariants
Bulletin of the Malaysian Mathematical Society, Tome 34 (2011) no. 3
Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website
The paper deals with the complete classification of a subclass of complex filiform Leibniz algebras in dimensions 5 and 6. This subclass arises from the naturally graded filiform Lie algebras. We give a complete list of algebras. In parametric families cases, the corresponding orbit functions (invariants) are given. In discrete orbits case, we show a representative of the orbits.
Classification :
Primary: 17A32, 17A60, 17B30; Secondary: 13A50.
@article{BMMS_2011_34_3_a5,
author = {Isamiddin S. Rakhimov and Munther A. Hassan},
title = {On {Low-Dimensional} {Filiform} {Leibniz} {Algebras} and {Their} {Invariants}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2011},
volume = {34},
number = {3},
url = {http://geodesic.mathdoc.fr/item/BMMS_2011_34_3_a5/}
}
Isamiddin S. Rakhimov; Munther A. Hassan. On Low-Dimensional Filiform Leibniz Algebras and Their Invariants. Bulletin of the Malaysian Mathematical Society, Tome 34 (2011) no. 3. http://geodesic.mathdoc.fr/item/BMMS_2011_34_3_a5/