Some 2-step nilpotent Lie algebras. I

DOI10.1016/S0024-3795(01)00367-6zbMath0992.17005WikidataQ115340039 ScholiaQ115340039MaRDI QIDQ5955649

Bin Ren, Dao Ji Meng

Publication date: 1 July 2002

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

zbMATH Keywords

derivation2-step nilpotent Lie algebrascomplete Lie algebraroot space decomposition

Mathematics Subject Classification ID

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

Related Items (14)

Arbitrary algebras with a multiplicative basis ⋮ Einstein nilradicals are completable ⋮ QuasiL₃-Filiform Lie Algebras ⋮ Quasi \(R_n\) filiform Lie algebras ⋮ n-Algebras admitting a multiplicative basis ⋮ Arbitrary triple systems admitting a multiplicative basis ⋮ The classification of two step nilpotent complex Lie algebras of dimension 8 ⋮ \(k\)-modules over linear spaces by \(n\)-linear maps admitting a multiplicative basis ⋮ QUASIL_n-FILIFORM LIE ALGEBRAS ⋮ Quasi Q_n-Filiform Lie Algebras ⋮ Lie algebras arising from 1-cyclic perfect complexes ⋮ Classification of 2-Step Nilpotent Lie Algebras of Dimension 8 with 2-Dimensional Center ⋮ (ANTI)COMMUTATIVE ALGEBRAS WITH A MULTIPLICATIVE BASIS ⋮ Completable nilpotent Lie superalgebras

Cites Work

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• Solvable Lie algebras of dimension \(\leq 4\) over perfect fields
• Fully Reducible Subgroups of Algebraic Groups
• KAC-Moody Lie Algebras and the Classification of Nilpotent Lie Algebras of Maximal Rank
• Classes of 2-step nilpotent lie algebras
• Some results on complete lie algebras^*
• Complete lie algebras and heisenberg algebras^*
• Solvable complete lie algebras. I^∗
• On Derivations and Holomorphs of Nilpotent Lie Algebras
• On the Classification of Metabelian Lie Algebras
• A Theory of Subinvariant Lie Algebras

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