Isotriviality of torsors over Laurent polynomial rings

DOI10.1016/j.crma.2005.10.013zbMath1107.14035OpenAlexW2087850198MaRDI QIDQ2577016

Philippe Gille, Arturo Pianzola

Publication date: 29 December 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.10.013

zbMATH Keywords

torsorextended affine Lie algebrasfppf topologyisotriviality theorem

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Geometric invariant theory (14L24) Group schemes (14L15) Homological methods in commutative ring theory (13D99)

Related Items (8)

Differential conformal superalgebras and their forms ⋮ Automorphisms of toroidal Lie superalgebras ⋮ Remarks on the Isotriviality of Multiloop Algebras ⋮ Galois cohomology and forms of algebras over Laurent polynomial rings ⋮ Isotriviality and étale cohomology of Laurent polynomial rings ⋮ Descent constructions for central extensions of infinite dimensional Lie algebras ⋮ Universal central extensions of twisted forms of split simple Lie algebras over rings ⋮ Torsors, reductive group schemes and extended affine Lie algebras

Cites Work

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• Principal bundles on the affine line
• Locally trivial principal homogeneous spaces
• Galois cohomology and forms of algebras over Laurent polynomial rings
• Halbeinfache Gruppenschemata über Dedekindringen
• Extended affine Lie algebras and their root systems

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