Timeline for Ramified quaternion algebras
Current License: CC BY-SA 3.0
6 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
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| Mar 21, 2013 at 2:12 | comment | added | j0equ1nn | I neglected to mention that later in the book I'm reading Maclachlan/Ried actually do devote a whole chapter to orders in quaternion algebras, they just give an overview of it early on. I'm reading the book carefully from the beginning and was dissatisfied with this overview but in fairness they probably chose wisely to ask the reader to accept some stuff on faith. I think this speaks to the fact that the answer to this question is really pretty nontrivial ... and also the fact that I'm really bad at accepting anything on faith. | |
| Mar 20, 2013 at 19:26 | vote | accept | j0equ1nn | ||
| Jul 23, 2013 at 5:25 | |||||
| Mar 20, 2013 at 19:25 | comment | added | j0equ1nn | That is a much clearer analogy. I'm reading Maclachlan/Ried, but they cover quaternion orders in 4 pages and I definitely needed more detail. I was aware of the Vigneras book but had not looked for it because I thought it was only available in French. Then a quick Google search shows a free download of an English translation from Nanjing University: math.nju.edu.cn/~guoxj/notes/qa.pdf I checked this against the French version and it's indeed the same, plus modern typesetting. Very cool. I think the intuition I'm looking for will just take time, so thanks for the tip and the reference. | |
| Mar 20, 2013 at 8:33 | comment | added | stankewicz | As a reference for this ramification stuff, see the book of Vigneras, especially section 2.1 | |
| Mar 20, 2013 at 8:26 | history | answered | stankewicz | CC BY-SA 3.0 |