Timeline for Who first noticed that the Hilbert symbol is a Steinberg symbol ?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Aug 29, 2012 at 16:29 | comment | added | Chandan Singh Dalawat | Hilbert himself defined it in terms of local norms from quadratic extensions, although he avoided the explicit mention of local fields. He derived the usual formulae for the symbol, so he (or others) could have easily verified the Steinberg property. But neither Hilbert nor Hasse mentions this property, even as a curiosity. My question is about making it explicit, which Serre does in his Corps locaux. | |
| Aug 29, 2012 at 15:38 | comment | added | paul Monsky | Wasn't the symbol classically defined to be 1 iff the form axx+byy represents 1 in the local field? So everybody noticed it. | |
| Aug 29, 2012 at 12:06 | history | edited | Jim Humphreys |
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| Aug 29, 2012 at 11:52 | answer | added | Jim Humphreys | timeline score: 11 | |
| Aug 29, 2012 at 7:52 | answer | added | Srilakshmi | timeline score: 1 | |
| Aug 29, 2012 at 3:58 | history | asked | Chandan Singh Dalawat | CC BY-SA 3.0 |