Principal bundles on affine space and bundles on the projective line

DOI10.1007/BF01443521zbMath0661.14016MaRDI QIDQ1112891

M. S. Raghunathan

Publication date: 1989

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

Full work available at URL: https://eudml.org/doc/164602

zbMATH Keywords

principal bundlesabsolutely almost simple algebraic groupalgebraic group acting on affine space

Mathematics Subject Classification ID

Related Items (12)

Problems about torsors over regular rings ⋮ Locally trivial principal homogeneous spaces and conjugacy theorems for Lie algebras ⋮ Jordan algebras and \(F_4\) bundles over the affine plane ⋮ 𝔸¹-connectedness in reductive algebraic groups ⋮ Galois cohomology and forms of algebras over Laurent polynomial rings ⋮ Isotriviality and étale cohomology of Laurent polynomial rings ⋮ A classification of torsors over Laurent polynomial rings ⋮ Rationally trivial torsors in -homotopy theory ⋮ Torsors of isotropic reductive groups over Laurent polynomials ⋮ Espaces homogènes génériquement triviaux ⋮ On Grothendieck–Serre’s conjecture concerning principal -bundles over reductive group schemes: I ⋮ Affine Kac-Moody Lie algebras as torsors over the punctured line

Cites Work

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• Principal bundles on the affine line
• Indecomposable quadratic spaces over the affine plane
• Projective modules over polynomial rings over division rings
• Algebraic and abstract simple groups
• Semisimple group schemes over complete curves
• Cancellation of Azumaya algebras
• Reductive groups over a local field
• Algebraic Groups Over Finite Fields
• Sur La Classification Des Fibres Holomorphes Sur La Sphere de Riemann
• Failure of a Quadratic Analogue of Serre's Conjecture
• Elementary proof of a theorem of Bruhat-Tits-Rousseau and of a theorem of Tits

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