On the homotopy groups of algebraic groups

DOI10.1016/0021-8693(83)90215-6zbMath0521.20026OpenAlexW1974554749MaRDI QIDQ1055557

John F. Jardine

Publication date: 1983

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90215-6

zbMATH Keywords

torusChevalley groupunipotent elementsconnected algebraic groupirreducible root systemhomotopy theory of algebraic groupsunstable K-theories

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Homotopy groups, general; sets of homotopy classes (55Q05) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Cohomology theory for linear algebraic groups (20G10) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

Related Items

Homotopy invariance of non-stable K₁-functors, On the third homology of 𝑆𝐿₂ and weak homotopy invariance, On \(\mathbb{A}^1\)-fundamental groups of isotropic reductive groups, Affine representability results in \(\mathbb A^1\)-homotopy theory. II: Principal bundles and homogeneous spaces, ¹-Homotopy of Chevalley Groups, Rationally trivial torsors in -homotopy theory, Fibrations of algebraic groups, \(\mathbb{A}^1\)-invariance of non-stable \(K_1\)-functors in the equicharacteristic case, Geometric models for the K-theory of fields

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