Timeline for Commutative subalgebras of M_n
Current License: CC BY-SA 2.5
14 events
| when toggle format | what | by | license | comment | |
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| Aug 3, 2010 at 18:55 | answer | added | B A Sethuraman | timeline score: 0 | |
| Aug 3, 2010 at 14:28 | answer | added | Pooja Singla | timeline score: 1 | |
| Jul 7, 2010 at 18:13 | history | edited | Harry Gindi | CC BY-SA 2.5 |
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| Jul 7, 2010 at 18:06 | answer | added | B A Sethuraman | timeline score: 8 | |
| Jul 7, 2010 at 11:02 | vote | accept | Carmen | ||
| Jul 7, 2010 at 3:13 | answer | added | Owen Sizemore | timeline score: 8 | |
| Jun 22, 2010 at 20:27 | history | edited | Charles Matthews | CC BY-SA 2.5 |
upper case title
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| Jun 22, 2010 at 16:05 | answer | added | Robin Chapman | timeline score: 5 | |
| Jun 22, 2010 at 15:24 | answer | added | Tom Goodwillie | timeline score: 8 | |
| Jun 22, 2010 at 14:52 | history | edited | Carmen | CC BY-SA 2.5 |
added 184 characters in body
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| Jun 22, 2010 at 14:14 | comment | added | Jan Jitse Venselaar | Of course, I meand $r \leq$... And Chapman's answer below has a much clearer explanation. | |
| Jun 22, 2010 at 14:00 | answer | added | Robin Chapman | timeline score: 25 | |
| Jun 22, 2010 at 13:49 | comment | added | Jan Jitse Venselaar | Some searching turned up eom.springer.de/m/m062790.htm. According to it there is a commutative subalgebra of dimension $r$ of the $n \times n$ matrices if and only if $$r< \left[ \frac{n^2}{4}\right] + 1$$ It mentions Schur's theorem, presumably the linear algebra version, but I don't immediately how it follows from that. The set of conjugacy classes of maximal commutative subalgebras is finite if $n<6$ and infinite if $n>6$. It does not explain the case $n=6$. | |
| Jun 22, 2010 at 13:36 | history | asked | Carmen | CC BY-SA 2.5 |