The cohomology of the Heisenberg Lie algebras over fields of finite characteristic

DOI10.1090/S0002-9939-08-09422-7zbMath1207.17027MaRDI QIDQ3532504

Grant Cairns, Sebastian Jambor

Publication date: 28 October 2008

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

zbMATH Keywords

Lie algebra cohomologyBetti numbersnilpotent Lie algebrasHeisenberg Lie algebra

Mathematics Subject Classification ID

Homological methods in Lie (super)algebras (17B55) Cohomology of Lie (super)algebras (17B56) Modular Lie (super)algebras (17B50)

Related Items (4)

Adjoint cohomology of two-step nilpotent Lie superalgebras ⋮ Cohomology of Heisenberg Lie superalgebras ⋮ The Betti numbers for Heisenberg Lie algebras ⋮ A class of nilpotent Lie algebras whose center acts nontrivially in cohomology

Cites Work

• The Homology of Heisenberg Lie Algebras Over Fields of Characteristic Two
• Explicit Betti numbers for a family of nilpotent Lie algebras
• Unimodal betti numbers for a class of nilpotent lie algebras
• Cohomology of Heisenberg Lie Algebras
• On the cohomology of extensions by a Heisenberg Lie algebra

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