Cohomology operations for Lie algebras

DOI10.1090/S0002-9947-03-03392-0zbMath1049.17020MaRDI QIDQ4441764

Barry Jessup, Grant Cairns

Publication date: 7 January 2004

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

zbMATH Keywords

cohomologyrepresentationLie algebraharmonic formBorel constructiontoral rankHirsch-Brown model

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Cohomology of Lie (super)algebras (17B56)

Related Items (3)

Free submodules for the central representation in the cohomology of Lie algebras ⋮ A class of nilpotent Lie algebras whose center acts nontrivially in cohomology ⋮ Constructing Lie algebra homology classes

Cites Work

• Multilinear algebra. 2nd ed
• Equivariant cohomology, Koszul duality, and the localization theorem
• 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
• On a Conjecture of Goresky, Kottwitz and MacPherson
• 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 homology of graded Lie algebras
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