Classification of finite-dimensional solvable Lie algebras with nondegenerate invariant bilinear forms

DOI10.1016/J.JALGEBRA.2006.12.028zbMath1112.17013OpenAlexW2077485722WikidataQ115351472 ScholiaQ115351472MaRDI QIDQ877703

Caihui Lu

Publication date: 3 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.12.028

zbMATH Keywords

solvable Lie algebrainvariant bilinear formmaximal positive root vector

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Solvable, nilpotent (super)algebras (17B30)

Related Items (8)

A Class of Solvable Lie Algebras with Triangular Decompositions ⋮ Quadratic Hom-Lie triple systems ⋮ Classification and Isomorphisms of Non-degenerate Solvable Lie Algebras of Maximal Rank ⋮ The isomorphic realization of nondegenerate solvable Lie algebras of maximal rank based on Kac-Moody algebras ⋮ Deformed Kac-Moody algebras and their representations ⋮ LIE SUPERALGEBRAS WITH SOME HOMOGENEOUS STRUCTURES ⋮ Solvable Indecomposable Extensions of Two Nilpotent Lie Algebras ⋮ Quadratic symplectic Lie superalgebras and Lie bi-superalgebras

Cites Work

• KAC-Moody Lie Algebras and the Classification of Nilpotent Lie Algebras of Maximal Rank
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