A refinement of the toral rank conjecture for 2-step nilpotent Lie algebras

DOI10.1090/S0002-9939-00-05366-1zbMath0966.17015OpenAlexW2044542766WikidataQ123127275 ScholiaQ123127275MaRDI QIDQ4501072

Paulo Tirao

Publication date: 3 September 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05366-1

zbMATH Keywords

2-step nilpotent Lie algebrastoral rank conjecturehomology of Lie algebras

Mathematics Subject Classification ID

Homological methods in Lie (super)algebras (17B55) Solvable, nilpotent (super)algebras (17B30)

Related Items (8)

On the cohomology of extensions by a Heisenberg Lie algebra ⋮ Betti number behavior for nilpotent Lie algebras ⋮ Free submodules for the central representation in the cohomology of Lie algebras ⋮ On the adjoint homology of 2-step nilpotent Lie algebras ⋮ Cohomology operations for Lie algebras ⋮ On a spectral sequence for the cohomology of a nilpotent Lie algebra ⋮ Constructing Lie algebra homology classes ⋮ On the homology of free 2-step nilpotent Lie algebras.

Cites Work

• Unnamed Item
• Le complexe de Koszul en algèbre et topologie. (The Koszul complex in algebra and topology)
• Laplacian and homology of free two-step nilpotent Lie algebras
• New bounds on the betti numbers of nilpotent lie algebras
• On the cohomology of nilpotent Lie algebras
• 7-Dimensional Nilpotent Lie Algebras
• Explicit Betti numbers for a family of nilpotent Lie algebras

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