The Chern character on the odd spinor groups

DOI10.2977/PRIMS/1195177848zbMath0622.57031OpenAlexW1979390381MaRDI QIDQ1090993

B. George

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/1195177848

zbMATH Keywords

representation ringspinor groupsChern charactertransgressionSerre spectral sequence\(Spin(2\ell +1\)fibration defined by factoring out the maximal torus

Mathematics Subject Classification ID

Homology and cohomology of Lie groups (57T10) Characteristic classes and numbers in differential topology (57R20) Topological (K)-theory (55N15) Serre spectral sequences (55T10)

Cites Work

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• Chern characters on compact Lie groups of low rank
• \(H^*\)Spin(\(n\)) as a Hopf algebra
• Hopf algebra structure of mod 2 cohomology of simple Lie groups
• On the K-theory of compact Lie groups
• On the K-theory of Lie groups
• The mod 2 cohomology rings of extra-special 2-groups and the spinor groups
• Sur L'Homologie et la Cohomologie des Groupes de Lie Compacts Connexes

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