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Betti number behavior for nilpotent Lie algebras

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Publication:881912
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DOI10.1007/s10711-005-9029-9zbMath1163.17022OpenAlexW2005238385MaRDI QIDQ881912

Hannes Pouseele

Publication date: 18 May 2007

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-005-9029-9


zbMATH Keywords

cohomologyLie algebraBetti numbersToral rank conjecture


Mathematics Subject Classification ID

Cohomology of Lie (super)algebras (17B56)


Related Items (2)

Some upper bounds on the dimension of the Schur multiplierof a pair of nilpotent Lie algebras ⋮ On a spectral sequence for the cohomology of a nilpotent Lie algebra



Cites Work

  • Unnamed Item
  • Constructing Lie algebra homology classes
  • New bounds on the betti numbers of nilpotent lie algebras
  • On the cohomology of nilpotent Lie algebras
  • Explicit Betti numbers for a family of nilpotent Lie algebras
  • Unimodal betti numbers for a class of nilpotent lie algebras
  • On the cohomology of a class of nilpotent Lie algebras
  • A refinement of the toral rank conjecture for 2-step nilpotent Lie algebras
  • Cohomology of Heisenberg Lie Algebras
  • On the cohomology of extensions by a Heisenberg Lie algebra


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