Unimodal betti numbers for a class of nilpotent lie algebras

DOI10.1080/00927879708825961zbMath0965.17014OpenAlexW1997107059MaRDI QIDQ4344688

Grant F. Armstrong

Publication date: 6 August 2001

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879708825961

zbMATH Keywords

cohomologylower boundsBetti numbersnilpotent Lie algebrasAbelian ideal of codimension oneunimodal Betti numbers

Mathematics Subject Classification ID

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

Related Items (5)

On the cohomology of extensions by a Heisenberg Lie algebra ⋮ Betti number behavior for nilpotent Lie algebras ⋮ The cohomology of the Heisenberg Lie algebras over fields of finite characteristic ⋮ On the homology of graded Lie algebras ⋮ Constructing Lie algebra homology classes

Cites Work

• Torsion theories, additive semantics, and rings of quotients. With an appendix by H. H. Storrer on torsion theories and dominant dimensions
• The torsion theory at a prime ideal of a right Noetherian ring
• New bounds on the betti numbers of nilpotent lie algebras
• On the Ring of Quotients at a Prime Ideal of a Right Noetherian Ring

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