Timeline for The geometry of the solution set of a symmetric equation in four symmetric matrices
Current License: CC BY-SA 3.0
3 events
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| Sep 27, 2017 at 7:15 | history | edited | Allen Knutson | CC BY-SA 3.0 |
added 40 characters in body
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| Sep 26, 2017 at 6:20 | comment | added | Will Sawin | Cool idea! I don't think your stronger claim about a one-dimensional quotient can be true. The diagonal elements are invariant under conjugation, so the dimension of the quotient is at least the dimension of the space of diagonal solutions, which is $n$. Of course, these solutions are fixed under conjugation by diagonal matrices so it doesn't contradict the claim that the full space is ${n+1 \choose 2}$-dimensional. | |
| Sep 25, 2017 at 16:58 | history | answered | Allen Knutson | CC BY-SA 3.0 |