Solvable Lie Algebras with Quasifiliform Nilradicals

DOI10.1080/00927870802174629zbMath1230.17007OpenAlexW2131663993MaRDI QIDQ3548574

Jie Lin, Shaoqiang Deng, Yan Wang

Publication date: 16 December 2008

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

Full work available at URL: https://doi.org/10.1080/00927870802174629

zbMATH Keywords

solvable Lie algebrasnilradicalquasifiliform Lie algebras

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Graded Lie (super)algebras (17B70) Solvable, nilpotent (super)algebras (17B30)

Related Items (28)

Solvable extensions of the naturally graded quasi-filiform Leibniz algebras ⋮ Classification of 7-dimensional solvable Lie algebras having 5-dimensional nilradicals ⋮ Description of solvable Leibniz algebras with four-dimensional nilradical ⋮ On classification problem of Loday algebras ⋮ Classification of solvable Leibniz algebras with null-filiform nilradical ⋮ On solvable Leibniz algebras whose nilradical is a direct sum of null-filiform algebras ⋮ On solvable Lie and Leibniz superalgebras with maximal codimension of nilradical ⋮ Residually solvable extensions of pro-nilpotent Leibniz superalgebras ⋮ The classification of 4-dimensional Leibniz algebras ⋮ On some classes of solvable Leibniz algebras and their completeness ⋮ Solvable Leibniz algebras with \(NF_n\bigoplus F_m^1\) nilradical ⋮ Classification of solvable Leibniz algebras with naturally graded filiform nilradical ⋮ Solvable extensions of a class of nilpotent linear Lie algebras ⋮ Solvable Lie and Leibniz superalgebras with a given nilradical ⋮ Solvable Leibniz algebras with quasi-filiform Lie algebras of maximum length nilradicals ⋮ Solvable Leibniz algebras with triangular nilradicals ⋮ On classification of 5-dimensional solvable Leibniz algebras ⋮ Solvable Indecomposable Extensions of Two Nilpotent Lie Algebras ⋮ Classification of solvable Lie algebras with a given nilradical by means of solvable extensions of its subalgebras ⋮ Classification of Lie algebras with naturally graded quasi-filiform nilradicals ⋮ Solvable Leibniz algebras with filiform nilradical ⋮ The classification of non-characteristically nilpotent filiform Leibniz algebras ⋮ Solvable Leibniz algebras with naturally graded non-Liep-filiform nilradicals ⋮ Solvable extensions of naturally graded quasi-filiform Leibniz algebras of second type ℒ¹ and ℒ³ ⋮ Solvable Leibniz algebras whose nilradical is a quasi-filiform Leibniz algebra of maximum length ⋮ Solvable Leibniz Algebras with Heisenberg Nilradical ⋮ Foliations formed by generic coadjoint orbits of a class of real seven-dimensional solvable Lie groups ⋮ Right and left solvable extensions of an associative Leibniz algebra

Cites Work

• Unnamed Item
• Solvable Lie algebras of dimension \(\leq 4\) over perfect fields
• Classification of Solvable Lie Algebras
• A class of solvable Lie algebras and their Casimir invariants
• Solvable Lie algebras with Heisenberg ideals
• Solvable Lie algebras with Abelian nilradicals
• Solvable Lie algebras with triangular nilradicals

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