Timeline for Quaternion algebras in characteristic 2
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| May 31, 2018 at 20:06 | comment | added | Aurel | As much as I like Vigneras's book, I think the standard reference should become Voight's book: math.dartmouth.edu/~jvoight/quat.html | |
| May 31, 2018 at 14:14 | comment | added | KConrad | There is no need for quotation marks in the characteristic $2$ case: what you describe there really are the quaternion algebras over $k$. In all characteristics, a quaternion algebra over $k$ is a 4-dimensional central simple $k$-algebra. These have different concrete descriptions in characteristic not $2$ and in characteristic $2$, just like classifying quadratic Galois extensions of $k$ uses different concrete descriptions in characteristic not $2$ (nontrivial elements of $k^\times/(k^\times)^2$) and in characteristic $2$ (nonzero elements of $k/\wp(k)$). | |
| S May 31, 2018 at 12:13 | history | suggested | Vincent | CC BY-SA 4.0 |
edited latex. Then changed some word in a completely uninteresting way to meet the six character limit
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| May 31, 2018 at 10:26 | review | Suggested edits | |||
| S May 31, 2018 at 12:13 | |||||
| May 31, 2018 at 9:52 | history | edited | Caligula | CC BY-SA 4.0 |
added 733 characters in body
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| May 30, 2018 at 10:50 | history | edited | Caligula | CC BY-SA 4.0 |
added 5 characters in body
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| May 30, 2018 at 10:50 | comment | added | Caligula | Thanks! This book looks wonderful! By the way, just reading there I realised that I had made a mistake when trying to mimick the char $\neq 2$ isomorphism, so it looks like the isomorphism class of $[a,b)$ actually depends on the classes in $k/\wp(k)$. | |
| May 30, 2018 at 10:37 | comment | added | Vincent | Apparently someone made an English translation and LaTeX-ed it: see here maths.nju.edu.cn/~guoxj/notes/qa.pdf | |
| May 30, 2018 at 10:34 | comment | added | Vincent | The standard reference is still, I believe, the book my Marie-France Vigneras. | |
| May 30, 2018 at 10:25 | history | asked | Caligula | CC BY-SA 4.0 |