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Aug 29, 2012 at 9:53 comment added Chandan Singh Dalawat Moreover, the first edition of Serre's Corps locaux appeared in 1962, and the Steinberg relation is explicitly mentioned in it without being named as such.
Aug 29, 2012 at 9:35 comment added Srilakshmi Dear Sir, I thought Matsumoto was the first person.
Aug 29, 2012 at 9:35 comment added Chandan Singh Dalawat Perhaps not. For example on p.87 of Steinberg's 1967 Lectures on Chevalley groups at Yale, he says that these relations [including the Steinberg relation] are satisfied by the norm residue symbol in class field theory.
Aug 29, 2012 at 9:17 comment added Chandan Singh Dalawat Dear Srilakshmi, I've looked at Matsumoto's article (Annales ENS, 1969). He explicitly says that the norm residue symbol in a local field (other than $\bf C$) is a Steinberg cocycle, but I'm not sure he's the first person to have made that remark.
Aug 29, 2012 at 7:52 history answered Srilakshmi CC BY-SA 3.0