Timeline for Problems concerning subspaces of $M_n(\mathbb{C})$
Current License: CC BY-SA 3.0
13 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 13, 2018 at 6:14 | history | edited | Ben McKay | CC BY-SA 3.0 |
spelling, grammar, formatting
|
| Mar 30, 2010 at 3:10 | answer | added | Richard Stanley | timeline score: 6 | |
| Mar 29, 2010 at 21:29 | comment | added | Qiaochu Yuan | Sure. One can reduce to subalgebras without loss of generality since the product and inverse of invertible matrices is invertible, and then you're just looking at a division algebra over R with a finite-dimensional representation. For that see en.wikipedia.org/wiki/… . | |
| Mar 29, 2010 at 21:10 | answer | added | Georges Elencwajg | timeline score: 5 | |
| Mar 29, 2010 at 20:52 | comment | added | zhaoliang | for problem 4 , if the base field is C , the answer is 1. But if the base field is R, the answer may be greater than 1 ,right? | |
| Mar 29, 2010 at 20:22 | answer | added | darij grinberg | timeline score: 11 | |
| Mar 29, 2010 at 20:06 | comment | added | Qiaochu Yuan | You might have better luck posting this kind of question on artofproblemsolving.com. I say this not because the question is inappropriate for MO but because I know there are a lot of strong problem-solvers there who like to think about this kind of question, although a few of them are here... | |
| Mar 29, 2010 at 19:53 | comment | added | Jonas Meyer | @José: Based on the tag and the poster's speculative answers below, I guess linear subspace is intended. | |
| Mar 29, 2010 at 19:47 | comment | added | José Figueroa-O'Farrill | Is "subspace" here meant in the linear algebraic sense? or the topological sense? | |
| Mar 29, 2010 at 19:37 | answer | added | zhaoliang | timeline score: 0 | |
| Mar 29, 2010 at 19:18 | comment | added | Pete L. Clark | Also, why don't you tell us what you have tried already? For most of these, there are some fairly obvious lower bounds. The question is whether one can do better. | |
| Mar 29, 2010 at 19:05 | comment | added | Pete L. Clark | Could you provide some motivation or context to allay the coming worries that this is a homework problem? | |
| Mar 29, 2010 at 19:02 | history | asked | zhaoliang | CC BY-SA 2.5 |