Twisted forms of differential Lie algebras over $\mathbb{C}(t)$ associated with complex simple Lie algebras
Rings and Algebras
2020-07-16 v4 Algebraic Geometry
Abstract
Discussed here is descent theory in the differential context where everything is equipped with a differential operator. To answer a question personally posed by A. Pianzola, we determine all twisted forms of the differential Lie algebras over associated with complex simple Lie algebras. Hopf-Galois Theory, a ring-theoretic counterpart of theory of torsors for group schemes, plays a role when we grasp the above-mentioned twisted forms from torsors.
Keywords
Cite
@article{arxiv.1912.10705,
title = {Twisted forms of differential Lie algebras over $\mathbb{C}(t)$ associated with complex simple Lie algebras},
author = {Akira Masuoka and Yuta Shimada},
journal= {arXiv preprint arXiv:1912.10705},
year = {2020}
}
Comments
Largely revised; in particular, changed the title and added several articles to the References, see the added Remark 2.2