JournalsdmOnline First

Loop torsors. Theory and applications

  • Vladimir Chernousov

    University of Alberta, Edmonton, Canada

  • Philippe Gille

    Université Claude Bernard Lyon 1, France; Romanian Academy, Bucharest, Romania
    ORCID

  • Arturo Pianzola

    University of Alberta, Edmonton, Canada
Loop torsors. Theory and applications cover
Download PDF

This article is published open access.

Abstract

Loop torsors over Laurent polynomial rings in characteristic 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.

Cite this article

Vladimir Chernousov, Philippe Gille, Arturo Pianzola, Loop torsors. Theory and applications. Doc. Math. (2025), published online first

DOI 10.4171/DM/1050