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arXiv · 2412.07294

Loop torsors. Theory and applications

Philippe Gille·Vladimir Chernousov·Arturo Pianzola
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Abstract

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 theory that can yields results in positive characteristic, and for group schemes that are not of finite type. The relation between loop and so-called toral torsors, is one of the central questions in the area. The present paper addresses this question in full generality.

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Philippe Gille, Vladimir Chernousov, Arturo Pianzola. 2024-12-10. Loop torsors. Theory and applications. https://arxiv.org/abs/2412.07294

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