Cohomology mod 2 of the classifying space of Spin\(^ c(n)\)

DOI10.2977/prims/1195177851zbMath0627.55011OpenAlexW2076879186MaRDI QIDQ1092454

Akira Kono, Masana Harada

Publication date: 1986

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195177851

zbMATH Keywords

classifying spaceSpin representationHopf algebra structurecohomology ring mod 2 of \(BSpin^ c(n)\)mod 2 Chern classes

Mathematics Subject Classification ID

Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

Related Items (2)

\(\mathcal {E}_\infty \) ring spectra and elements of Hopf invariant 1 ⋮ Motivic cohomology of the Nisnevich classifying space of even Clifford groups

Cites Work

• Hopf algebra structure of mod 2 cohomology of simple Lie groups
• On the integral cohomology of BSpin(n)
• Clifford modules
• The mod 2 cohomology rings of extra-special 2-groups and the spinor groups
• The cohomology of classifying spaces of 𝐻-spaces
• Sur L'Homologie et la Cohomologie des Groupes de Lie Compacts Connexes

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