On the Stiefel-Whitney class of the adjoint representation of \(E_8\)

DOI10.3792/pjaa.80.155zbMath1069.57021OpenAlexW1970351048MaRDI QIDQ1769623

Akihiro Ohsita

Publication date: 4 April 2005

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.80.155

zbMATH Keywords

classifying spaceexceptional Lie groupadjoint representationStiefel--Whitney class

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Homology and cohomology of Lie groups (57T10) Characteristic classes and numbers in differential topology (57R20)

Cites Work

• Unnamed Item
• Squaring operations in the 4-connective fibre spaces over the classifying spaces of the exceptional Lie groups
• Cohomology mod 2 of the classifying space of the compact connected Lie group of type E\(_8\)
• On the cohomology mod 2 of the classifying space of the 1-connected exceptional Lie group \(E_7\)
• On the cohomology mod 2 of the classifying space of AdE\(_7\)

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