On low-dimensional filiform Leibniz algebras and their invariants

Details On low-dimensional filiform Leibniz algebras and their invariants On low-dimensional filiform Leibniz algebras and their invariants

2010-01-05

arxiv.org/abs/1001.0634v1

Mathematics

Rings and Algebras

11 pages

Scientific paper

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.

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