Hopf algebra structure of mod 2 cohomology of simple Lie groups

DOI10.2977/prims/1195190961zbMath0387.57024OpenAlexW2064398996WikidataQ115224778 ScholiaQ115224778MaRDI QIDQ1250470

Kiminao Ishitoya, Hirosi Toda, Akira Kono

Publication date: 1976

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/1195190961

Mathematics Subject Classification ID

Related Items (13)

The Chern character on the odd spinor groups ⋮ Cohomology mod 2 of the classifying space of Spin\(^ c(n)\) ⋮ Canonicalp-dimensions of algebraic groups and degrees of basic polynomial invariants ⋮ On the cohomology of the 2-connected cover of the loop space of simple Lie groups ⋮ Schubert calculus and the Hopf algebra structures of exceptional Lie groups ⋮ Lusternik-Schnirelmann \(\pi_{1}\)-category of non-simply connected simple Lie groups ⋮ The extension problem and the mod 2 cohomology of the space of loops on Spin (N) ⋮ Homotopy types of gauge groups over Riemann surfaces ⋮ Group dualities, T‐dualities, and twisted K‐theory ⋮ Pre-quantization of the moduli space of flat \(G\)-bundles over a surface ⋮ Hopf-theoretic approach to motives of twisted flag varieties ⋮ Lusternik-Schnirelmann category of 𝐒𝐩𝐢𝐧(9) ⋮ Torsion in cohomology of compact Lie groups and Chow rings of reductive algebraic groups

Cites Work

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• Cohomology mod 2 of the classifying space of the compact connected Lie group of type E\(_8\)
• The integral cohomology ring of the symmetric space EVII
• Exceptional Lie groups and Steenrod squares
• The cohomology of quotients of classical groups
• On the structure of Hopf algebras
• The mod 2 cohomology rings of extra-special 2-groups and the spinor groups
• Homologie singulière des espaces fibrés. Applications
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• Cohomology Operations (AM-50)

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