Timeline for Diagonalization of quadratic forms over euclidean rings
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 23, 2010 at 8:10 | vote | accept | K.J. Moi | ||
| Aug 20, 2010 at 21:13 | comment | added | Will Jagy | I did not initially realize this question was in my area. It appears you need to consider easier things before returning to this. I always recommend $$ $$ The Arithmetic Theory of Quadratic Forms, by Burton Wadsworth Jones $$ $$ Integral Quadratic Forms, by George Leo Watson $$ $$ Rational Quadratic Forms, by John William Scott Cassels $$ $$ and then back to your area, the recent $$ $$ Basic Quadratic Forms, by Larry J. Gerstein, where Gerstein, as well as T. Y. Lam, can say ``Pfister'' without snickering. | |
| Aug 20, 2010 at 18:44 | comment | added | K.J. Moi | @darij: I edited, so now I'm not allowing those kinds of forms. @Skip: Thanks I'll check that out. | |
| Aug 20, 2010 at 18:41 | history | edited | K.J. Moi | CC BY-SA 2.5 |
clarifying the meaning of "non-degenerate"
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| Aug 20, 2010 at 18:39 | comment | added | Skip | If you are looking for the largest class of rings where things that hold for quadratic forms over fields still mostly work, maybe the best you can do is semilocal rings like in Ricardo Baeza's book. Characteristic 2 plays the usual havoc. | |
| Aug 20, 2010 at 18:29 | answer | added | Robin Chapman | timeline score: 3 | |
| Aug 20, 2010 at 18:29 | comment | added | darij grinberg | What do you mean by "non-degenerate"? The condition that "any non-degenerate quadratic form on $A^n$ represents some unit" is a bit hard to satisfy if forms like $p\sum_i x_i^2$ are allowed... | |
| Aug 20, 2010 at 18:03 | history | asked | K.J. Moi | CC BY-SA 2.5 |