On low-dimensional filiform Leibniz algebras and their invariants
Rings and Algebras
2010-01-06 v1 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.1001.0634,
title = {On low-dimensional filiform Leibniz algebras and their invariants},
author = {I. S. Rakhimov and Munther A. Hassan},
journal= {arXiv preprint arXiv:1001.0634},
year = {2010}
}
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11 pages