Timeline for Cartan subalgebras of matrix algebras over fields and division algebras
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 25, 2016 at 14:17 | vote | accept | Sven Wirsing | ||
| Sep 17, 2016 at 9:46 | comment | added | Sven Wirsing | Hi Salvatore, yes, thanks for your comments. These special cases are of interest, too. | |
| Sep 14, 2016 at 13:04 | answer | added | Erhard Neher | timeline score: 4 | |
| Sep 12, 2016 at 22:40 | comment | added | Salvatore Siciliano | Hi Sven, if $D$ is a field then all Cartan subalgebras of $gl(n,D)$ have dimension $n$ and they are exactly the maximal tori. If $D$ is a skew-field and $n=1$ then the answer is know, as well: the Cartan subalgebras are the separable maximal subfields of $D$... But I do not think it is known what happens in the general case when $D$ is not commutative and $n$ is any positive integer. | |
| Sep 12, 2016 at 8:39 | comment | added | Sven Wirsing | The question is also here: math.stackexchange.com/questions/1921250/… | |
| Sep 12, 2016 at 8:38 | history | asked | Sven Wirsing | CC BY-SA 3.0 |