Chevalley’s reconstruction of class field theory in the 1930s. (Chinese. English summary) Zbl 1463.11001

Summary: Focusing on Chevalley’s works on class field theory, this paper points out that the arithmetical demonstration of class field theory was not accomplished in one step. Chevalley was, in fact, initially skeptical about the arithmetization of class field theory, however, he eventually proved it with the concept of idele in 1940. On the basis of correspondence between Chevalley, Hasse and other German mathematicians, this paper also outlines the academic relationship between Chevalley and German mathematicians, and the evaluation of German and French mathematicians of Chevalley’s work on class field theory at the time.


11-03 History of number theory
01A60 History of mathematics in the 20th century
11R37 Class field theory

Biographic References:

Chevalley, Claude