On the cohomology of extensions by a Heisenberg Lie algebra

DOI10.1017/S0004972700038466zbMath1162.17310OpenAlexW2020375011WikidataQ115336917 ScholiaQ115336917MaRDI QIDQ5315957

Hannes Pouseele

Publication date: 12 September 2005

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700038466

zbMATH Keywords

cohomology spacesexplicit formula for Betti numberstwisted standard filiform Lie algebras

Mathematics Subject Classification ID

Cohomology of Lie (super)algebras (17B56) Solvable, nilpotent (super)algebras (17B30)

Related Items (5)

Betti number of nilpotent Lie algebras and graph ideals ⋮ Betti number behavior for nilpotent Lie algebras ⋮ The cohomology of the Heisenberg Lie algebras over fields of finite characteristic ⋮ The Betti numbers for a family of solvable Lie algebras ⋮ The cohomology of filiform Lie algebras of maximal rank

Cites Work

• Double wells
• Explicit Betti numbers for a family of nilpotent Lie algebras
• Unimodal betti numbers for a class of nilpotent lie algebras
• A refinement of the toral rank conjecture for 2-step nilpotent Lie algebras
• Cohomology of Heisenberg Lie Algebras

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