On Description of Isomorphism Classes of filiform Leibniz algebras in dimensions 7 and 8

Details On Description of Isomorphism Classes of filiform Leibniz algebras in dimensions 7 and 8 On Description of Isomorphism Classes of filiform Leibniz algebras in dimensions 7 and 8

2010-04-16

arxiv.org/abs/1004.2806v1

Mathematics

Rings and Algebras

Scientific paper

The paper concerns the classification problem of a subclass of complex filiform Leibniz algebras in dimensions 7 and 8. This subclass arises from naturally graded filiform Lie algebras. We give a complete list of isomorphism classes of algebras including Lie case. In parametric families cases, the corresponding orbit functions (invariants) are given. In discrete orbits case, we show representatives of the orbits.

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