Galois action on algebraic matrix groups, Chern classes, and the Euler class

DOI10.1007/BF01456073zbMath0541.20027OpenAlexW1974592283MaRDI QIDQ794770

Guido Mislin, Beno Eckmann

Publication date: 1985

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163973

zbMATH Keywords

cohomologyprofinite completionChern classes of representationscomplex algebraic matrix groupEuler class of orthogonal representationsGalois conjugate representationmaps of classifying spacesprofinite characteristic classes

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Cohomology theory for linear algebraic groups (20G10) Eckmann-Hilton duality (55P30)

Related Items

Galois representations attached to mod \(p\) cohomology of \(GL(n,\mathbb{Z})\)

Cites Work

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• On the Euler class of representations of finite groups over real fields
• Genetics of homotopy theory and the Adams conjecture
• Etale Homotopy of Simplicial Schemes. (AM-104)
• ON THE ACTION OF GALOIS GROUPS ON BU (n)^
• The Cohomology of BSO n and BO n with Integer Coefficients