Timeline for Dimension (manifold) of matrices with exact $r$ positive and $r$ negative eigenvalues
Current License: CC BY-SA 4.0
15 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 17, 2018 at 14:06 | vote | accept | Alpha001 | ||
| Aug 17, 2018 at 14:06 | vote | accept | Alpha001 | ||
| Aug 17, 2018 at 14:06 | |||||
| S Jul 4, 2018 at 17:28 | history | suggested | Rodrigo de Azevedo | CC BY-SA 4.0 |
Minor edits
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| Jul 4, 2018 at 17:27 | review | Suggested edits | |||
| S Jul 4, 2018 at 17:28 | |||||
| Jul 3, 2018 at 23:53 | answer | added | Igor Rivin | timeline score: 5 | |
| Jul 3, 2018 at 23:17 | comment | added | Alpha001 | @RobertIsrael Is it clear how it would change the dimension? | |
| Jul 3, 2018 at 22:35 | comment | added | Peter Shor | @RobertIsrael: Oops. I completely missed the Hermitian requirement. | |
| Jul 3, 2018 at 22:31 | comment | added | Robert Israel | Given a Hermitian matrix with $r$ positive and $r$ negative eigenvalues, any sufficiently close Hermitian matrix of rank $2r$ will also have $r$ positive and $r$ negative eigenvalues. On the other hand, the restriction to Hermitian matrices does change the dimension. | |
| Jul 3, 2018 at 20:50 | review | Close votes | |||
| Jul 4, 2018 at 11:00 | |||||
| Jul 3, 2018 at 20:48 | comment | added | Alpha001 | I thougth that the restriction of $r$ postivie and $r$ negative eigenvalues reduces the dimension. I don't got your point in total. Could you explain it with a few more words? | |
| Jul 3, 2018 at 19:08 | comment | added | Peter Shor | Why should the dimension be any different? This partitions the manifold of dimension $2n(2r) - (2r)^2$ into a finite number (15) of submanifolds. | |
| S Jul 3, 2018 at 19:03 | history | suggested | Glorfindel | CC BY-SA 4.0 |
typos corrected, formatting
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| Jul 3, 2018 at 19:00 | review | Suggested edits | |||
| S Jul 3, 2018 at 19:03 | |||||
| Jul 3, 2018 at 18:52 | review | First posts | |||
| Jul 3, 2018 at 19:00 | |||||
| Jul 3, 2018 at 18:48 | history | asked | Alpha001 | CC BY-SA 4.0 |