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Volume 34 • Number 3 • 2011
• On Low-Dimensional Filiform Leibniz Algebras and Their Invariants
Isamiddin S. Rakhimov and Munther A. Hassan

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.

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