Timeline for Minimal dimension of a Lie algebra of matrices, with a restrictive property
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Mar 30, 2015 at 17:31 | answer | added | Dave Witte Morris | timeline score: 5 | |
| Mar 30, 2015 at 16:37 | history | edited | YCor | CC BY-SA 3.0 |
correct two last G into g
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| Mar 30, 2015 at 13:40 | history | edited | YCor | CC BY-SA 3.0 |
Corrected English and typing
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| Mar 30, 2015 at 13:20 | comment | added | Julien Bernard | The reference to the page 55 concerns only the definition of what is "hypothesis A". I know the entire Weyl's text, and I can say that he did not prove in it what I've asked in my question. For the general demonstration of the theorem which is the subject of his book, he only need to know that $dim(G)>1$, and not that $dim(G)\geq n-1$. That is why he only gives the result without any proof. | |
| Mar 30, 2015 at 12:58 | history | edited | Julien Bernard | CC BY-SA 3.0 |
added 6 characters in body
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| Mar 30, 2015 at 12:51 | comment | added | Julien Bernard | The reference is Mathematische Analyse des Raumproblems, p101.: "Eine nicht-verschwindende Matrix H, deren Spur erschwindet, würde nur dann in g nicht vorzukommen brauchen, wenn g einparametrig wäre; das ist aber für n = 3 offenbar durch die Voraussetzung A ausgeschlossen (sie erfordert, daß die Gruppe mindestens n − 1 Parameter besitzt)." Of course, you have to read above to understand that "hypothesis A" means, here, exactly the same as hypothesis $H$ in my question. | |
| Mar 30, 2015 at 12:37 | comment | added | Dietrich Burde | Can you give the link of "the assertion of Hermann Weyl" ? | |
| Mar 30, 2015 at 12:27 | comment | added | Julien Bernard | <X> is for the linear subspace spanned by X | |
| Mar 30, 2015 at 10:31 | history | asked | Julien Bernard | CC BY-SA 3.0 |