On the Third-Degree Continuous Cohomology of Simple Lie Groups

zbMath1440.22025arXiv1811.05726MaRDI QIDQ5114436

Carlos de la Cruz Mengual

Publication date: 23 June 2020

Full work available at URL: https://arxiv.org/abs/1811.05726

zbMATH Keywords

Lie algebra cohomologycontinuous cohomologysimple Lie groupscomplex structuresDynkin indexcohomology of homogeneous spaces of simple Lie groupsvan Est's theorem

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Homology and cohomology of Lie groups (57T10) General properties and structure of real Lie groups (22E15) Homology and cohomology of homogeneous spaces of Lie groups (57T15) Continuous cohomology of Lie groups (22E41)

Uses Software

• MathOverflow

Cites Work

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• Cohomology of Lie groups
• Simplicial De Rham cohomology and characteristic classes of flat bundles
• Morse Theory. (AM-51)
• Sur la cohomologie réelle des groupes de Lie simples réels
• Continuous cohomology of groups and classifying spaces
• Cohomology Theory of Lie Groups and Lie Algebras

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