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Real difference Galois theory

Author: Thomas Dreyfus
Journal: Proc. Amer. Math. Soc. 146 (2018), 43-54
MSC (2010): Primary 12D15, 39A05
Published electronically: July 28, 2017
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Abstract: In this paper, we develop a difference Galois theory in the setting of real fields. After proving the existence and uniqueness of the real Picard-Vessiot extension, we define the real difference Galois group and prove a Galois correspondence.

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Additional Information

Thomas Dreyfus
Affiliation: Université Claude Bernard Lyon 1, Institut Camille Jordan, 43 boulevard du 11 novembre 1918, 69622 Villeurbanne, France

Received by editor(s): November 1, 2016
Received by editor(s) in revised form: February 10, 2017
Published electronically: July 28, 2017
Additional Notes: This work was supported by the labex CIMI. This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme under the Grant Agreement No 648132.
Communicated by: Matthew A. Papanikolas
Article copyright: © Copyright 2017 American Mathematical Society

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