A derivation HNN construction for Lie algebras

DOI10.1007/BF02773461zbMath0930.17006MaRDI QIDQ1269760

Alon Wasserman

Publication date: 15 February 2000

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

HNN extensionsderivationsLie algebrastwo-generator embedding

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (15)

Coabelian ideals in \(\mathbb{N}\)-graded Lie algebras and applications to right angled Artin Lie algebras ⋮ Existentially closed structures and some embedding theorems ⋮ The weak commutativity construction for Lie algebras ⋮ A normal form for HNN-extensions of dialgebras ⋮ Finitely presented metabelian restricted Lie algebras ⋮ Non-associative central extensions of null-filiform associative algebras ⋮ HNN-extension of involutive multiplicative Hom-Lie algebras ⋮ Unnamed Item ⋮ HNN-extensions of Leibniz algebras ⋮ On finite presentability and the homological type \(FP_n\) of Lie algebras: a survey ⋮ Bass-Serre theory for Lie algebras: a homological approach ⋮ Finitely presented centre-by-metabelian Lie algebras ⋮ HNN-extension of Lie superalgebras ⋮ On self-similar Lie algebras and virtual endomorphisms ⋮ On the homological finiteness properties of some modules over metabelian Lie algebras

Cites Work

• Almost finitely presented soluble groups
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