Real Liouville extensions
Teresa Crespo, Zbigniew Hajto
TL;DR
This paper characterizes real Liouville extensions through their differential Galois groups, providing a new perspective on their structure and properties.
Contribution
It introduces a novel characterization of real Liouville extensions based on differential Galois theory, advancing understanding in differential algebra.
Findings
Real Liouville extensions are characterized by their differential Galois groups.
The paper establishes criteria linking Liouville extensions to Galois group properties.
Provides a theoretical framework for analyzing real Liouville extensions.
Abstract
We give a characterization of real Liouville extensions by differential Galois groups.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsPolynomial and algebraic computation · Numerical methods for differential equations · Advanced Numerical Analysis Techniques