Nilpotent Lie algebras with 2-dimensional commutator ideals

DOI10.1016/J.LAA.2010.09.036zbMath1257.17008OpenAlexW2044257301WikidataQ115344820 ScholiaQ115344820MaRDI QIDQ616398

Giovanni Falcone, Alfonso Di Bartolo, Claudio G. Bartolone

Publication date: 7 January 2011

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2010.09.036

zbMATH Keywords

nilpotent Lie algebraspairs of alternating forms

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Solvable, nilpotent (super)algebras (17B30) Quadratic and bilinear forms, inner products (15A63)

Related Items (9)

Derivations of the \((n,2,1)\)-nilpotent Lie algebra ⋮ The action of a compact Lie group on nilpotent Lie algebras of type \(\{n,2\}\) ⋮ A class of nilpotent Lie algebras admitting a compact subgroup of automorphisms ⋮ Degenerations of noncommutative Heisenberg algebras ⋮ Unnamed Item ⋮ Periodic derivations and prederivations of Lie algebras ⋮ Finite-dimensional nilpotent Lie algebras of class two and alternating bilinear maps ⋮ On nilpotent Lie algebras of small breadth ⋮ Two-step nilpotent Leibniz algebras

Cites Work

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• Classification des algèbres de Lie nilpotentes complexes de dimension 7. (Classification of nilpotent complex Lie algebras of dimension 7)
• Paare alternierender Formen
• Problems of classifying associative or Lie algebras and triples of symmetric or skew-symmetric matrices are wild
• Sur les représentations unitaires des groupes de Lie nilpotents. II
• On the Classification of Metabelian Lie Algebras

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