Volume 34 • Number 3 • 2011   • On Low-Dimensional Filiform Leibniz Algebras and Their Invariants Isamiddin S. Rakhimov and Munther A. Hassan Abstract. 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. 2010 Mathematics Subject Classification: Primary: 17A32, 17A60, 17B30; Secondary: 13A50. Full text: PDF