Real difference Galois theory
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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.References
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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
- MR Author ID: 1051219
- ORCID: 0000-0003-1459-8456
- Email: dreyfus@math.univ-lyon1.fr
- 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
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 43-54
- MSC (2010): Primary 12D15, 39A05
- DOI: https://doi.org/10.1090/proc/13696
- MathSciNet review: 3723119