On the homological finiteness properties of some modules over metabelian Lie algebras

DOI10.1007/BF02773165zbMath0998.17021MaRDI QIDQ1601476

Dessislava H. Kochloukova

Publication date: 8 August 2002

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

zbMATH Keywords

homological finitenessmetabelian Lie algebras

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Homological methods in Lie (super)algebras (17B55) Solvable, nilpotent (super)algebras (17B30)

Related Items (8)

Homological finiteness properties of Lie algebras ⋮ Finitely presented metabelian restricted Lie algebras ⋮ Homological properties of metabelian restricted Lie algebras ⋮ Subdirect sums of Lie algebras ⋮ Nilpotent-by-abelian Lie algebras of type FP_m ⋮ On finite presentability and the homological type \(FP_n\) of Lie algebras: a survey ⋮ Homological finiteness properties of pro-\(p\) modules over metabelian pro-\(p\) groups. ⋮ On self-similar Lie algebras and virtual endomorphisms

Cites Work

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• A derivation HNN construction for Lie algebras
• Finitely presented Lie algebras
• The \(FP_ m\)-conjecture for a class of metabelian groups
• The \(\Sigma^2\)-conjecture for metabelian groups and some new conjectures: the split extension case
• ON THE FP₃-CONJECTURE FOR METABELIAN GROUPS
• Bieri-Strebel Valuations (of Finite Rank)
• Finite Presentation of Abelian-by-Finite-Dimensional Lie Algebras
• Valuations and Finitely Presented Metabelian Groups
• Metabelian Groups of Type (FP )_∞ are Virtually of Type (FP )
• A New Characterisation of m -Tame Groups Over Finitely Generated Abelian Groups
• Metabelian pro-p groups of type FPm

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