Differential Central Simple Algebras

2023/03/22 by Parul Gupta, Gupta, Parul, Yashpreet Kaur +3
Computer Science · Mathematics · #12H05 #16H05 #16W25 #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2303.12430

openalex publication_date 2023/03/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Differential central simple algebras are the main object of study in this survey article. We recall some crucial notions such as differential subfields, differential splitting fields, tensor products etc. Our main focus is on differential splitting fields which connects these objects to the classical differential Galois theory. We mention several known results and raise some questions along the line.

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