1. Cohomology for Picard-Vessiot theory.
- Author
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Tsui, Man Cheung and Wang, Yidi
- Subjects
- *
COHOMOLOGY theory , *DIFFERENTIAL algebra , *HOPF algebras , *ALGEBRA - Abstract
We introduce a cohomology theory that classifies differential objects that arise from Picard-Vessiot theory, using differential Hopf-Galois descent. To do this, we provide an explicit description of Picard-Vessiot theory in terms of differential torsors. We then use this cohomology to give a bijective correspondence between differential objects and differential torsors. As an application, we prove a universal bound for the differential splitting degree of differential central simple algebras. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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