Varieties of Nilpotent Complex Leibniz Algebras of Dimension Less than Five

DOI10.1081/AGB-200061038zbMath1088.17003OpenAlexW2092515797MaRDI QIDQ5462872

Isamiddin S. Rakhimov, Sergio A. Albeverio, Bakhrom A. Omirov

Publication date: 27 July 2005

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-200061038

zbMATH Keywords

degenerationnilpotenceirreducible componentrigid algebravariety of Leibniz algebras

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Leibniz algebras (17A32)

Related Items (41)

Extensions of Leibniz superalgebras ⋮ Classification of algebras of level two in the variety of nilpotent algebras and Leibniz algebras ⋮ Relationships between factors of canonical central series of Leibniz algebras ⋮ Isomorphism classes and invariants of low-dimensional filiform Leibniz algebras ⋮ Description of solvable Leibniz algebras with four-dimensional nilradical ⋮ On the degenerations of solvable Leibniz algebras ⋮ Periodic Algebras Generated by Groups ⋮ Gröbner–Shirshov bases theory for Leibniz superalgebras ⋮ The global extension problem, co-flag and metabelian Leibniz algebras ⋮ On solvable Lie and Leibniz superalgebras with maximal codimension of nilradical ⋮ Thin Leibniz algebras ⋮ On description of Leibniz algebras corresponding to \(sl _{2}\) ⋮ Some remarks on semisimple Leibniz algebras ⋮ Unnamed Item ⋮ The classification of algebras of level two ⋮ Local superderivations on solvable Lie and Leibniz superalgebras ⋮ An algorithm for the classification of 3-dimensional complex Leibniz algebras ⋮ Leibniz algebras and graphs ⋮ Solvable Lie and Leibniz superalgebras with a given nilradical ⋮ An Example of Constructing Versal Deformation for Leibniz Algebras ⋮ Unified products for Leibniz algebras. Applications ⋮ Description of some classes of Leibniz algebras ⋮ The algebraic classification of nilpotent associative commutative algebras ⋮ Degenerations of Zinbiel and nilpotent Leibniz algebras ⋮ Leibniz algebras whose semisimple part is related to \(sl_2\) ⋮ Leibniz algebras admitting a multiplicative basis ⋮ On classification of 5-dimensional solvable Leibniz algebras ⋮ On naturally graded Lie and Leibniz superalgebras ⋮ On Leibniz superalgebras with even part corresponding to \(\mathfrak{sl}_2 \) ⋮ On Isomorphisms and Invariants of Finite Dimensional Complex Filiform Leibniz Algebras ⋮ Naturally graded quasi-filiform Leibniz algebras ⋮ The Classification of Naturally Gradedp-Filiform Leibniz Algebras ⋮ Versal Deformations of Leibniz Algebras ⋮ Classification of a subclass of low-dimensional complex filiform Leibniz algebras ⋮ Leibniz algebras: a brief review of current results ⋮ Deformation of Leibniz Algebra Morphisms Over Commutative Local Algebra Base ⋮ Unnamed Item ⋮ On split Leibniz algebras ⋮ On the Structure of Graded Leibniz Algebras ⋮ Leibniz algebra deformations of a Lie algebra ⋮ Central extensions of some solvable Leibniz superalgebras

Cites Work

• Varieties of nilpotent Lie algebras of dimension less than six
• The algebraic and geometric classification of associative algebras of dimension five
• On the varieties of nilpotent Lie algebras of dimension 7 and 8
• Classification of orbit closures of 4-dimensional complex Lie algebras
• Unnamed Item

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