Torsors for difference algebraic groups

Annette  Bachmayr; Michael Wibmer

doi:10.1142/S0219199721500681

Torsors for difference algebraic groups

Annette Bachmayr^*, Michael Wibmer

^*Corresponding author for this work

Institute of Analysis and Number Theory (5010)

Research output: Contribution to journal › Article › peer-review

Abstract

We introduce a cohomology set for groups defined by algebraic difference equations and show that it classifies torsors under the group action. This allows us to compute all torsors for large classes of groups. We also present an application to the Galois theory of differential equations depending on a discrete parameter.

Original language	English
Article number	2150068
Journal	Communications in Contemporary Mathematics
Early online date	2021
DOIs	https://doi.org/10.1142/S0219199721500681
Publication status	E-pub ahead of print - 2021

Keywords

Cohomology
Descent for difference varieties
Difference algebraic groups
Torsors

ASJC Scopus subject areas

Applied Mathematics
General Mathematics

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10.1142/S0219199721500681

Cite this

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title = "Torsors for difference algebraic groups",

abstract = "We introduce a cohomology set for groups defined by algebraic difference equations and show that it classifies torsors under the group action. This allows us to compute all torsors for large classes of groups. We also present an application to the Galois theory of differential equations depending on a discrete parameter.",

keywords = "Cohomology, Descent for difference varieties, Difference algebraic groups, Torsors",

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journal = "Communications in Contemporary Mathematics",

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KW - Descent for difference varieties

KW - Difference algebraic groups

KW - Torsors

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SN - 0219-1997

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Torsors for difference algebraic groups

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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