Title of article :
On Low-Dimensional Filiform Leibniz Algebras and Their Invariants
Author/Authors :
Rakhimov, Isamiddin S. Universiti Putra Malaysia - Faculty of Science, Institute for Mathematical Research (INSPEM) - Department of Mathematics, Malaysia , Hassan, Munther A. Universiti Putra Malaysia - Faculty of Science, Institute for Mathematical Research (INSPEM) - Department of Mathematics, Malaysia
Abstract :
The paper deals with the complete classication 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 (in- variants) are given. In discrete orbits case, we show a representative of the orbits.
Keywords :
Filiform Leibniz algebra , classication , invariant
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
