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Mar 30, 2017 at 18:50 comment added Henry.L To all those voted to hold this topic: I have no idea what is the meaning/beneficial of putting such an old post on hold. And it is actually one of the first posts that attracts me here.
Mar 29, 2017 at 19:12 history closed Denis Serre
Sebastian Goette
Jan-Christoph Schlage-Puchta
Neil Strickland
Chris Godsil
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Mar 29, 2017 at 13:12 review Close votes
Mar 29, 2017 at 19:12
May 5, 2013 at 5:27 comment added Henry.L It's not so obvious as it seems, Gatnmacher provided a proof using row operations in Theory of matrices and A.Horn proceed as a special example of nonnegative matrices. Yes, I shall have done more before asking que1 and que2. But as far as I concerned I did not see why this is related to lie-algebra. Thank all your kind suggestions! It really helps.
May 5, 2013 at 5:24 vote accept Henry.L
May 4, 2013 at 15:38 comment added Benoît Kloeckner As far as I understand your question (which make little sense even after corrections: e.g. what is $F$ now?), it is basic material which you will find in any book treating these questions. Voting to close.
May 4, 2013 at 14:42 answer added Name timeline score: 4
May 4, 2013 at 5:02 comment added S. Carnahan Have you read en.wikipedia.org/wiki/… ?
May 4, 2013 at 3:47 comment added Henry.L Update and made corrections about the conditions, real field will be just fine. My ignorance, sorry.
May 4, 2013 at 3:44 history edited Henry.L CC BY-SA 3.0
Major corrections; deleted 1 characters in body; added 1 characters in body; edited body
May 3, 2013 at 13:26 comment added Misha What do you mean by "non-negative definite" matrix over a general field? What does "Hermitian" mean over a general field? What "special property" do you have in mind. (See if you can identify such property in the case when $F={\mathbb R}$.)
May 3, 2013 at 13:22 comment added Henry Cohn This question doesn't make sense as stated, since "nonnegative definite" and "Hermitian" aren't defined for a general field. (Even if your field is the complex numbers, do you want to assume $A$ and $B$ commute, so you can take $P$ to be unitary?) See mathoverflow.net/questions/118680 for information about which fields have the property that every symmetric matrix is diagonalizable.
May 3, 2013 at 11:09 history edited Henry.L CC BY-SA 3.0
small modification; deleted 66 characters in body
May 3, 2013 at 11:03 comment added Henry.L I'm very curious, how such a question was raised and left unanswered during a Lie-algebra course...
May 3, 2013 at 10:48 history asked Henry.L CC BY-SA 3.0