Varieties of Nilpotent Complex Leibniz Algebras of Dimension Less than Five
By Sergio Albeverio, Bakhrom Omirov, Isamiddin S. Rakhimov. 2005
71 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/ac6fbfe408c7a75161e57b0fc4df2d1efdf8593a
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
- Y. Volkov
- Ivan Kaygorodov
- A. Pozhidaev
- Yury Popov
- Isamiddin S. Rakhimov
- A. A. Pypka
- Javier Otal
- Leonid A. Kurdachenko
In Discrete Mathematics and Combinatorics
In Geometry and Topology
Citations in the corpus
- Relationships between factors of canonical central series of Leibniz algebras (2016, background): “Omirov [3] and continued in the papers [1,2,4,7,15,20], sometimes under different approaches.”
- Degenerations of Zinbiel and nilpotent Leibniz algebras (2016, methodology): “The classification of rigid algebras and irreducible compon ents in the variety of nilpotent Leibniz algebras of dimension 4 obtained in [3] is not correct.”
- On Description of Leibniz Algebras Corresponding to sl2 (2013, background): “, the classification problems of nilpotent part and its subclasses [1, 2, 4, 16–21], e.”
- An algorithm for the classification of 3-dimensional complex Leibniz algebras (2012, unknown): “BracketTwo[1, 3] := {1/β, 0, 0} BracketTwo[2, 3] := {0, 1, 0}”
- Classification of 4-dimensional nilpotent complex Leibniz algebras (2006, unknown): “…m etric")analogueofLie algebrasand they wereintroduced by J.-L.Loday [8], asalgebraswhich satisfy the following identity: [x;[y;z]]= [[x;y];z] [[x;z];y]: They appeared toberelated in anaturalwaytoseveraltopicssuch asdi erential geom etry,hom…”