2019/12/23 by Akira Masuoka, Masuoka, Akira, Yuta Shimada +1
Mathematics · #12H05 #14L15 #16T05 #17B20 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.1912.10705
openalex publication_date 2019/12/23 · openalex created_date 2020/07/23 · openalex updated_date 2026/07/28
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 ℂ(t) 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.