On Classification of Finite Dimensional Complex Filiform Leibniz Algebras (PartI)
Rings and Algebras
2007-05-23 v1 Algebraic Geometry
Abstract
The paper is devoted to classification problem of finite dimensional complex none Lie filiform Leibniz algebras. The motivation to write this paper is an unpublished yet result of J.R.Gomez, B.A.Omirov on necessary and sufficient conditions for two finite dimensional complex filiform Leibniz algebras to be isomorphic. We suggest another approach to this problem. The approach that we use for classification is in terms of invariants. In fact, utilizing this method for any given low dimensional case all filiform Leibniz algebras can be classified. Moreover, the results can be used for geometrical classification of orbits of such algebras. Key-Words: filiform Leibniz algebra, invariant, function, isomorphism.
Cite
@article{arxiv.math/0612805,
title = {On Classification of Finite Dimensional Complex Filiform Leibniz Algebras (PartI)},
author = {U. D. Bekbaev and I. S. Rakhimov},
journal= {arXiv preprint arXiv:math/0612805},
year = {2007}
}
Comments
14 pages