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math.AG2024
Loop torsors. Theory and applications
Philippe Gille, Vladimir Chernousov, Arturo Pianzola
Loop torsors over Laurent polynomial rings in characteristic 0 were originally introduced in relation to infinite dimensional Lie theory. Applications to other areas require a theo…
math.AG2023
Fiberwise criteria for Twisted Forms of Algebraic Structures
Philippe Gille, Arturo Pianzola
We provide a criterion for certain algebraic objects over Jacobson schemes to be forms of each other based on their behaviour at closed fibres. This criterion permits to answer a q…
math.AG2007★ 1 cited
Descent constructions for central extensions of infinite dimensional Lie algebras
Arturo Pianzola, Daniel Prelat, Jie Sun
We use Galois descent to construct central extensions of twisted forms of split simple Lie algebras over rings. These types of algebras arise naturally in the construction of Exten…